ITP001 Axioms: ITP141

ITP001 Axioms: ITP141_5.ax

%------------------------------------------------------------------------------
% File     : ITP141_5 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain   : Interactive Theorem Proving
% Axioms   : HOL4 set theory export, chainy mode
% Version  : [BG+19] axioms.
% English  :

% Refs     : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
%          : [Gau20] Gauthier (2020), Email to Geoff Sutcliffe
% Source   : [BG+19]
% Names    : machine_ieee_2.ax [Gau20]
%          : HL4141_5.ax [TPAP]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  855 ( 416 unt; 289 typ;   0 def)
%            Number of atoms       : 28598 ( 529 equ)
%            Maximal formula atoms :    8 (  33 avg)
%            Number of connectives :  418 (   0   ~;   0   |; 258   &)
%                                         ( 129 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       : 27614 (27614 fml;   0 var)
%            Number of types       :   25 (  24 usr)
%            Number of type conns  :  145 ( 109   >;  36   *;   0   +;   0  <<)
%            Number of predicates  :  116 ( 115 usr;  28 prp; 0-4 aty)
%            Number of functors    :  265 ( 265 usr; 156 con; 0-8 aty)
%            Number of variables   : 1353 (1347   !;   6   ?;1353   :)
% SPC      : TF0_SAT_EQU_NAR

% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
tff(tp_c_2Emachine__ieee_2Econvert,type,
    c_2Emachine__ieee_2Econvert: ( del * del * del * del * del * del ) > $i ).

tff(mem_c_2Emachine__ieee_2Econvert,axiom,
    ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del] : mem(c_2Emachine__ieee_2Econvert(A_27a,A_27b,A_27c,A_27d,A_27e,A_27f),arr(arr(ty_2Efcp_2Ecart(bool,A_27a),ty_2Ebinary__ieee_2Efloat(A_27b,A_27c)),arr(arr(ty_2Ebinary__ieee_2Efloat(A_27d,A_27e),ty_2Efcp_2Ecart(bool,A_27f)),arr(arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,A_27f)))),arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,A_27a),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,A_27f)))))))) ).

tff(stp_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))
     => ( X = inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(stp_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))) ).

tff(stp_iso_mem_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))
     => ( X = inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(tp_c_2Emachine__ieee_2Efloat__to__fp16,type,
    c_2Emachine__ieee_2Efloat__to__fp16: $i ).

tff(mem_c_2Emachine__ieee_2Efloat__to__fp16,axiom,
    mem(c_2Emachine__ieee_2Efloat__to__fp16,arr(ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(stp_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(stp_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(tp_c_2Emachine__ieee_2Efloat__to__fp32,type,
    c_2Emachine__ieee_2Efloat__to__fp32: $i ).

tff(mem_c_2Emachine__ieee_2Efloat__to__fp32,axiom,
    mem(c_2Emachine__ieee_2Efloat__to__fp32,arr(ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(stp_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))
     => ( X = inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(stp_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(stp_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))))
     => ( X = inj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) ) ) ).

tff(stp_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) ) ) ).

tff(stp_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))
     => ( X = inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) ) ) ).

tff(tp_c_2Emachine__ieee_2Efloat__to__fp64,type,
    c_2Emachine__ieee_2Efloat__to__fp64: $i ).

tff(mem_c_2Emachine__ieee_2Efloat__to__fp64,axiom,
    mem(c_2Emachine__ieee_2Efloat__to__fp64,arr(ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__abs,type,
    c_2Emachine__ieee_2Efp16__abs: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__abs,axiom,
    mem(c_2Emachine__ieee_2Efp16__abs,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__add,type,
    c_2Emachine__ieee_2Efp16__add: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__add,axiom,
    mem(c_2Emachine__ieee_2Efp16__add,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(stp_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))
     => ( X = inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__add__with__flags,type,
    c_2Emachine__ieee_2Efp16__add__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__add__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp16__add__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__bottom,type,
    c_2Emachine__ieee_2Efp16__bottom: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__bottom,axiom,
    mem(c_2Emachine__ieee_2Efp16__bottom,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__compare,type,
    c_2Emachine__ieee_2Efp16__compare: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__compare,axiom,
    mem(c_2Emachine__ieee_2Efp16__compare,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat__compare))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__compare,type,
    fo__c_2Emachine__ieee_2Efp16__compare: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__ty_2Ebinary__ieee_2Efloat__compare ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__compare,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__ty_2Ebinary__ieee_2Efloat__compare(fo__c_2Emachine__ieee_2Efp16__compare(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp16__compare,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__div,type,
    c_2Emachine__ieee_2Efp16__div: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__div,axiom,
    mem(c_2Emachine__ieee_2Efp16__div,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__div__with__flags,type,
    c_2Emachine__ieee_2Efp16__div__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__div__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp16__div__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__equal,type,
    c_2Emachine__ieee_2Efp16__equal: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__equal,axiom,
    mem(c_2Emachine__ieee_2Efp16__equal,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__equal,type,
    fo__c_2Emachine__ieee_2Efp16__equal: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__equal,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__equal(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp16__equal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__greaterEqual,type,
    c_2Emachine__ieee_2Efp16__greaterEqual: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__greaterEqual,axiom,
    mem(c_2Emachine__ieee_2Efp16__greaterEqual,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__greaterEqual,type,
    fo__c_2Emachine__ieee_2Efp16__greaterEqual: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__greaterEqual,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__greaterEqual(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp16__greaterEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__greaterThan,type,
    c_2Emachine__ieee_2Efp16__greaterThan: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__greaterThan,axiom,
    mem(c_2Emachine__ieee_2Efp16__greaterThan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__greaterThan,type,
    fo__c_2Emachine__ieee_2Efp16__greaterThan: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__greaterThan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__greaterThan(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp16__greaterThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__isFinite,type,
    c_2Emachine__ieee_2Efp16__isFinite: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__isFinite,axiom,
    mem(c_2Emachine__ieee_2Efp16__isFinite,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__isFinite,type,
    fo__c_2Emachine__ieee_2Efp16__isFinite: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__isFinite,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__isFinite(X0)) = ap(c_2Emachine__ieee_2Efp16__isFinite,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__isInfinite,type,
    c_2Emachine__ieee_2Efp16__isInfinite: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__isInfinite,axiom,
    mem(c_2Emachine__ieee_2Efp16__isInfinite,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__isInfinite,type,
    fo__c_2Emachine__ieee_2Efp16__isInfinite: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__isInfinite,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__isInfinite(X0)) = ap(c_2Emachine__ieee_2Efp16__isInfinite,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__isIntegral,type,
    c_2Emachine__ieee_2Efp16__isIntegral: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__isIntegral,axiom,
    mem(c_2Emachine__ieee_2Efp16__isIntegral,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__isIntegral,type,
    fo__c_2Emachine__ieee_2Efp16__isIntegral: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__isIntegral,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__isIntegral(X0)) = ap(c_2Emachine__ieee_2Efp16__isIntegral,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__isNan,type,
    c_2Emachine__ieee_2Efp16__isNan: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__isNan,axiom,
    mem(c_2Emachine__ieee_2Efp16__isNan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__isNan,type,
    fo__c_2Emachine__ieee_2Efp16__isNan: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__isNan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__isNan(X0)) = ap(c_2Emachine__ieee_2Efp16__isNan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__isNormal,type,
    c_2Emachine__ieee_2Efp16__isNormal: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__isNormal,axiom,
    mem(c_2Emachine__ieee_2Efp16__isNormal,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__isNormal,type,
    fo__c_2Emachine__ieee_2Efp16__isNormal: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__isNormal,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__isNormal(X0)) = ap(c_2Emachine__ieee_2Efp16__isNormal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__isSignallingNan,type,
    c_2Emachine__ieee_2Efp16__isSignallingNan: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__isSignallingNan,axiom,
    mem(c_2Emachine__ieee_2Efp16__isSignallingNan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__isSignallingNan,type,
    fo__c_2Emachine__ieee_2Efp16__isSignallingNan: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__isSignallingNan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__isSignallingNan(X0)) = ap(c_2Emachine__ieee_2Efp16__isSignallingNan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__isSubnormal,type,
    c_2Emachine__ieee_2Efp16__isSubnormal: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__isSubnormal,axiom,
    mem(c_2Emachine__ieee_2Efp16__isSubnormal,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__isSubnormal,type,
    fo__c_2Emachine__ieee_2Efp16__isSubnormal: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__isSubnormal,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__isSubnormal(X0)) = ap(c_2Emachine__ieee_2Efp16__isSubnormal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__isZero,type,
    c_2Emachine__ieee_2Efp16__isZero: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__isZero,axiom,
    mem(c_2Emachine__ieee_2Efp16__isZero,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__isZero,type,
    fo__c_2Emachine__ieee_2Efp16__isZero: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__isZero,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__isZero(X0)) = ap(c_2Emachine__ieee_2Efp16__isZero,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__lessEqual,type,
    c_2Emachine__ieee_2Efp16__lessEqual: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__lessEqual,axiom,
    mem(c_2Emachine__ieee_2Efp16__lessEqual,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__lessEqual,type,
    fo__c_2Emachine__ieee_2Efp16__lessEqual: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__lessEqual,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__lessEqual(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp16__lessEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__lessThan,type,
    c_2Emachine__ieee_2Efp16__lessThan: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__lessThan,axiom,
    mem(c_2Emachine__ieee_2Efp16__lessThan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__lessThan,type,
    fo__c_2Emachine__ieee_2Efp16__lessThan: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__lessThan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp16__lessThan(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp16__lessThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__mul,type,
    c_2Emachine__ieee_2Efp16__mul: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__mul,axiom,
    mem(c_2Emachine__ieee_2Efp16__mul,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__mul__add,type,
    c_2Emachine__ieee_2Efp16__mul__add: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__mul__add,axiom,
    mem(c_2Emachine__ieee_2Efp16__mul__add,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__mul__add__with__flags,type,
    c_2Emachine__ieee_2Efp16__mul__add__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__mul__add__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp16__mul__add__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__mul__sub,type,
    c_2Emachine__ieee_2Efp16__mul__sub: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__mul__sub,axiom,
    mem(c_2Emachine__ieee_2Efp16__mul__sub,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__mul__sub__with__flags,type,
    c_2Emachine__ieee_2Efp16__mul__sub__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__mul__sub__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__mul__with__flags,type,
    c_2Emachine__ieee_2Efp16__mul__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__mul__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp16__mul__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__negInf,type,
    c_2Emachine__ieee_2Efp16__negInf: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__negInf,axiom,
    mem(c_2Emachine__ieee_2Efp16__negInf,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__negMin,type,
    c_2Emachine__ieee_2Efp16__negMin: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__negMin,axiom,
    mem(c_2Emachine__ieee_2Efp16__negMin,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__negZero,type,
    c_2Emachine__ieee_2Efp16__negZero: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__negZero,axiom,
    mem(c_2Emachine__ieee_2Efp16__negZero,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__negate,type,
    c_2Emachine__ieee_2Efp16__negate: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__negate,axiom,
    mem(c_2Emachine__ieee_2Efp16__negate,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__posInf,type,
    c_2Emachine__ieee_2Efp16__posInf: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__posInf,axiom,
    mem(c_2Emachine__ieee_2Efp16__posInf,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__posMin,type,
    c_2Emachine__ieee_2Efp16__posMin: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__posMin,axiom,
    mem(c_2Emachine__ieee_2Efp16__posMin,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__posZero,type,
    c_2Emachine__ieee_2Efp16__posZero: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__posZero,axiom,
    mem(c_2Emachine__ieee_2Efp16__posZero,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__roundToIntegral,type,
    c_2Emachine__ieee_2Efp16__roundToIntegral: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__roundToIntegral,axiom,
    mem(c_2Emachine__ieee_2Efp16__roundToIntegral,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__sqrt,type,
    c_2Emachine__ieee_2Efp16__sqrt: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__sqrt,axiom,
    mem(c_2Emachine__ieee_2Efp16__sqrt,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__sqrt__with__flags,type,
    c_2Emachine__ieee_2Efp16__sqrt__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__sqrt__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp16__sqrt__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__sub,type,
    c_2Emachine__ieee_2Efp16__sub: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__sub,axiom,
    mem(c_2Emachine__ieee_2Efp16__sub,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__sub__with__flags,type,
    c_2Emachine__ieee_2Efp16__sub__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__sub__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp16__sub__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__to__float,type,
    c_2Emachine__ieee_2Efp16__to__float: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__to__float,axiom,
    mem(c_2Emachine__ieee_2Efp16__to__float,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__to__fp32,type,
    c_2Emachine__ieee_2Efp16__to__fp32: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__to__fp32,axiom,
    mem(c_2Emachine__ieee_2Efp16__to__fp32,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(stp_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))
     => ( X = inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__to__fp32__with__flags,type,
    c_2Emachine__ieee_2Efp16__to__fp32__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__to__fp32__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp16__to__fp32__with__flags,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__to__fp64,type,
    c_2Emachine__ieee_2Efp16__to__fp64: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__to__fp64,axiom,
    mem(c_2Emachine__ieee_2Efp16__to__fp64,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(stp_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))
     => ( X = inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__to__fp64__with__flags,type,
    c_2Emachine__ieee_2Efp16__to__fp64__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__to__fp64__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp16__to__fp64__with__flags,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp16__to__int,type,
    c_2Emachine__ieee_2Efp16__to__int: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__to__int,axiom,
    mem(c_2Emachine__ieee_2Efp16__to__int,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Eoption_2Eoption(ty_2Einteger_2Eint)))) ).

tff(tp_c_2Emachine__ieee_2Efp16__to__real,type,
    c_2Emachine__ieee_2Efp16__to__real: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__to__real,axiom,
    mem(c_2Emachine__ieee_2Efp16__to__real,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Erealax_2Ereal)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__to__real,type,
    fo__c_2Emachine__ieee_2Efp16__to__real: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__ty_2Erealax_2Ereal ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__to__real,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__ty_2Erealax_2Ereal(fo__c_2Emachine__ieee_2Efp16__to__real(X0)) = ap(c_2Emachine__ieee_2Efp16__to__real,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__to__value,type,
    c_2Emachine__ieee_2Efp16__to__value: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__to__value,axiom,
    mem(c_2Emachine__ieee_2Efp16__to__value,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat__value)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp16__to__value,type,
    fo__c_2Emachine__ieee_2Efp16__to__value: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__ty_2Ebinary__ieee_2Efloat__value ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp16__to__value,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__ty_2Ebinary__ieee_2Efloat__value(fo__c_2Emachine__ieee_2Efp16__to__value(X0)) = ap(c_2Emachine__ieee_2Efp16__to__value,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp16__top,type,
    c_2Emachine__ieee_2Efp16__top: $i ).

tff(mem_c_2Emachine__ieee_2Efp16__top,axiom,
    mem(c_2Emachine__ieee_2Efp16__top,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__abs,type,
    c_2Emachine__ieee_2Efp32__abs: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__abs,axiom,
    mem(c_2Emachine__ieee_2Efp32__abs,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__add,type,
    c_2Emachine__ieee_2Efp32__add: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__add,axiom,
    mem(c_2Emachine__ieee_2Efp32__add,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__add__with__flags,type,
    c_2Emachine__ieee_2Efp32__add__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__add__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp32__add__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__bottom,type,
    c_2Emachine__ieee_2Efp32__bottom: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__bottom,axiom,
    mem(c_2Emachine__ieee_2Efp32__bottom,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__compare,type,
    c_2Emachine__ieee_2Efp32__compare: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__compare,axiom,
    mem(c_2Emachine__ieee_2Efp32__compare,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat__compare))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__compare,type,
    fo__c_2Emachine__ieee_2Efp32__compare: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__ty_2Ebinary__ieee_2Efloat__compare ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__compare,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__ty_2Ebinary__ieee_2Efloat__compare(fo__c_2Emachine__ieee_2Efp32__compare(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp32__compare,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__div,type,
    c_2Emachine__ieee_2Efp32__div: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__div,axiom,
    mem(c_2Emachine__ieee_2Efp32__div,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__div__with__flags,type,
    c_2Emachine__ieee_2Efp32__div__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__div__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp32__div__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__equal,type,
    c_2Emachine__ieee_2Efp32__equal: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__equal,axiom,
    mem(c_2Emachine__ieee_2Efp32__equal,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__equal,type,
    fo__c_2Emachine__ieee_2Efp32__equal: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__equal,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__equal(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp32__equal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__greaterEqual,type,
    c_2Emachine__ieee_2Efp32__greaterEqual: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__greaterEqual,axiom,
    mem(c_2Emachine__ieee_2Efp32__greaterEqual,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__greaterEqual,type,
    fo__c_2Emachine__ieee_2Efp32__greaterEqual: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__greaterEqual,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__greaterEqual(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp32__greaterEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__greaterThan,type,
    c_2Emachine__ieee_2Efp32__greaterThan: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__greaterThan,axiom,
    mem(c_2Emachine__ieee_2Efp32__greaterThan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__greaterThan,type,
    fo__c_2Emachine__ieee_2Efp32__greaterThan: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__greaterThan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__greaterThan(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp32__greaterThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__isFinite,type,
    c_2Emachine__ieee_2Efp32__isFinite: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__isFinite,axiom,
    mem(c_2Emachine__ieee_2Efp32__isFinite,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__isFinite,type,
    fo__c_2Emachine__ieee_2Efp32__isFinite: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__isFinite,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__isFinite(X0)) = ap(c_2Emachine__ieee_2Efp32__isFinite,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__isInfinite,type,
    c_2Emachine__ieee_2Efp32__isInfinite: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__isInfinite,axiom,
    mem(c_2Emachine__ieee_2Efp32__isInfinite,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__isInfinite,type,
    fo__c_2Emachine__ieee_2Efp32__isInfinite: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__isInfinite,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__isInfinite(X0)) = ap(c_2Emachine__ieee_2Efp32__isInfinite,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__isIntegral,type,
    c_2Emachine__ieee_2Efp32__isIntegral: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__isIntegral,axiom,
    mem(c_2Emachine__ieee_2Efp32__isIntegral,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__isIntegral,type,
    fo__c_2Emachine__ieee_2Efp32__isIntegral: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__isIntegral,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__isIntegral(X0)) = ap(c_2Emachine__ieee_2Efp32__isIntegral,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__isNan,type,
    c_2Emachine__ieee_2Efp32__isNan: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__isNan,axiom,
    mem(c_2Emachine__ieee_2Efp32__isNan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__isNan,type,
    fo__c_2Emachine__ieee_2Efp32__isNan: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__isNan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__isNan(X0)) = ap(c_2Emachine__ieee_2Efp32__isNan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__isNormal,type,
    c_2Emachine__ieee_2Efp32__isNormal: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__isNormal,axiom,
    mem(c_2Emachine__ieee_2Efp32__isNormal,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__isNormal,type,
    fo__c_2Emachine__ieee_2Efp32__isNormal: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__isNormal,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__isNormal(X0)) = ap(c_2Emachine__ieee_2Efp32__isNormal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__isSignallingNan,type,
    c_2Emachine__ieee_2Efp32__isSignallingNan: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__isSignallingNan,axiom,
    mem(c_2Emachine__ieee_2Efp32__isSignallingNan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__isSignallingNan,type,
    fo__c_2Emachine__ieee_2Efp32__isSignallingNan: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__isSignallingNan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__isSignallingNan(X0)) = ap(c_2Emachine__ieee_2Efp32__isSignallingNan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__isSubnormal,type,
    c_2Emachine__ieee_2Efp32__isSubnormal: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__isSubnormal,axiom,
    mem(c_2Emachine__ieee_2Efp32__isSubnormal,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__isSubnormal,type,
    fo__c_2Emachine__ieee_2Efp32__isSubnormal: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__isSubnormal,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__isSubnormal(X0)) = ap(c_2Emachine__ieee_2Efp32__isSubnormal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__isZero,type,
    c_2Emachine__ieee_2Efp32__isZero: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__isZero,axiom,
    mem(c_2Emachine__ieee_2Efp32__isZero,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__isZero,type,
    fo__c_2Emachine__ieee_2Efp32__isZero: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__isZero,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__isZero(X0)) = ap(c_2Emachine__ieee_2Efp32__isZero,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__lessEqual,type,
    c_2Emachine__ieee_2Efp32__lessEqual: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__lessEqual,axiom,
    mem(c_2Emachine__ieee_2Efp32__lessEqual,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__lessEqual,type,
    fo__c_2Emachine__ieee_2Efp32__lessEqual: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__lessEqual,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__lessEqual(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp32__lessEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__lessThan,type,
    c_2Emachine__ieee_2Efp32__lessThan: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__lessThan,axiom,
    mem(c_2Emachine__ieee_2Efp32__lessThan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__lessThan,type,
    fo__c_2Emachine__ieee_2Efp32__lessThan: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__lessThan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp32__lessThan(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp32__lessThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__mul,type,
    c_2Emachine__ieee_2Efp32__mul: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__mul,axiom,
    mem(c_2Emachine__ieee_2Efp32__mul,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__mul__add,type,
    c_2Emachine__ieee_2Efp32__mul__add: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__mul__add,axiom,
    mem(c_2Emachine__ieee_2Efp32__mul__add,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__mul__add__with__flags,type,
    c_2Emachine__ieee_2Efp32__mul__add__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__mul__add__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp32__mul__add__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__mul__sub,type,
    c_2Emachine__ieee_2Efp32__mul__sub: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__mul__sub,axiom,
    mem(c_2Emachine__ieee_2Efp32__mul__sub,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__mul__sub__with__flags,type,
    c_2Emachine__ieee_2Efp32__mul__sub__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__mul__sub__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__mul__with__flags,type,
    c_2Emachine__ieee_2Efp32__mul__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__mul__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp32__mul__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__negInf,type,
    c_2Emachine__ieee_2Efp32__negInf: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__negInf,axiom,
    mem(c_2Emachine__ieee_2Efp32__negInf,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__negMin,type,
    c_2Emachine__ieee_2Efp32__negMin: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__negMin,axiom,
    mem(c_2Emachine__ieee_2Efp32__negMin,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__negZero,type,
    c_2Emachine__ieee_2Efp32__negZero: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__negZero,axiom,
    mem(c_2Emachine__ieee_2Efp32__negZero,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__negate,type,
    c_2Emachine__ieee_2Efp32__negate: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__negate,axiom,
    mem(c_2Emachine__ieee_2Efp32__negate,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__posInf,type,
    c_2Emachine__ieee_2Efp32__posInf: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__posInf,axiom,
    mem(c_2Emachine__ieee_2Efp32__posInf,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__posMin,type,
    c_2Emachine__ieee_2Efp32__posMin: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__posMin,axiom,
    mem(c_2Emachine__ieee_2Efp32__posMin,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__posZero,type,
    c_2Emachine__ieee_2Efp32__posZero: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__posZero,axiom,
    mem(c_2Emachine__ieee_2Efp32__posZero,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__roundToIntegral,type,
    c_2Emachine__ieee_2Efp32__roundToIntegral: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__roundToIntegral,axiom,
    mem(c_2Emachine__ieee_2Efp32__roundToIntegral,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__sqrt,type,
    c_2Emachine__ieee_2Efp32__sqrt: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__sqrt,axiom,
    mem(c_2Emachine__ieee_2Efp32__sqrt,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__sqrt__with__flags,type,
    c_2Emachine__ieee_2Efp32__sqrt__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__sqrt__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp32__sqrt__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__sub,type,
    c_2Emachine__ieee_2Efp32__sub: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__sub,axiom,
    mem(c_2Emachine__ieee_2Efp32__sub,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__sub__with__flags,type,
    c_2Emachine__ieee_2Efp32__sub__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__sub__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp32__sub__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__to__float,type,
    c_2Emachine__ieee_2Efp32__to__float: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__to__float,axiom,
    mem(c_2Emachine__ieee_2Efp32__to__float,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__to__fp16,type,
    c_2Emachine__ieee_2Efp32__to__fp16: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__to__fp16,axiom,
    mem(c_2Emachine__ieee_2Efp32__to__fp16,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__to__fp16__with__flags,type,
    c_2Emachine__ieee_2Efp32__to__fp16__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__to__fp16__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp32__to__fp16__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__to__fp64,type,
    c_2Emachine__ieee_2Efp32__to__fp64: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__to__fp64,axiom,
    mem(c_2Emachine__ieee_2Efp32__to__fp64,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__to__fp64__with__flags,type,
    c_2Emachine__ieee_2Efp32__to__fp64__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__to__fp64__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp32__to__fp64__with__flags,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp32__to__int,type,
    c_2Emachine__ieee_2Efp32__to__int: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__to__int,axiom,
    mem(c_2Emachine__ieee_2Efp32__to__int,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Eoption_2Eoption(ty_2Einteger_2Eint)))) ).

tff(tp_c_2Emachine__ieee_2Efp32__to__real,type,
    c_2Emachine__ieee_2Efp32__to__real: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__to__real,axiom,
    mem(c_2Emachine__ieee_2Efp32__to__real,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Erealax_2Ereal)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__to__real,type,
    fo__c_2Emachine__ieee_2Efp32__to__real: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__ty_2Erealax_2Ereal ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__to__real,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__ty_2Erealax_2Ereal(fo__c_2Emachine__ieee_2Efp32__to__real(X0)) = ap(c_2Emachine__ieee_2Efp32__to__real,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__to__value,type,
    c_2Emachine__ieee_2Efp32__to__value: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__to__value,axiom,
    mem(c_2Emachine__ieee_2Efp32__to__value,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat__value)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp32__to__value,type,
    fo__c_2Emachine__ieee_2Efp32__to__value: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__ty_2Ebinary__ieee_2Efloat__value ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp32__to__value,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__ty_2Ebinary__ieee_2Efloat__value(fo__c_2Emachine__ieee_2Efp32__to__value(X0)) = ap(c_2Emachine__ieee_2Efp32__to__value,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp32__top,type,
    c_2Emachine__ieee_2Efp32__top: $i ).

tff(mem_c_2Emachine__ieee_2Efp32__top,axiom,
    mem(c_2Emachine__ieee_2Efp32__top,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__abs,type,
    c_2Emachine__ieee_2Efp64__abs: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__abs,axiom,
    mem(c_2Emachine__ieee_2Efp64__abs,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__add,type,
    c_2Emachine__ieee_2Efp64__add: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__add,axiom,
    mem(c_2Emachine__ieee_2Efp64__add,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__add__with__flags,type,
    c_2Emachine__ieee_2Efp64__add__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__add__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp64__add__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__bottom,type,
    c_2Emachine__ieee_2Efp64__bottom: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__bottom,axiom,
    mem(c_2Emachine__ieee_2Efp64__bottom,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__compare,type,
    c_2Emachine__ieee_2Efp64__compare: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__compare,axiom,
    mem(c_2Emachine__ieee_2Efp64__compare,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat__compare))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__compare,type,
    fo__c_2Emachine__ieee_2Efp64__compare: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__ty_2Ebinary__ieee_2Efloat__compare ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__compare,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__ty_2Ebinary__ieee_2Efloat__compare(fo__c_2Emachine__ieee_2Efp64__compare(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp64__compare,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__div,type,
    c_2Emachine__ieee_2Efp64__div: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__div,axiom,
    mem(c_2Emachine__ieee_2Efp64__div,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__div__with__flags,type,
    c_2Emachine__ieee_2Efp64__div__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__div__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp64__div__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__equal,type,
    c_2Emachine__ieee_2Efp64__equal: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__equal,axiom,
    mem(c_2Emachine__ieee_2Efp64__equal,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__equal,type,
    fo__c_2Emachine__ieee_2Efp64__equal: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__equal,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__equal(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp64__equal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__greaterEqual,type,
    c_2Emachine__ieee_2Efp64__greaterEqual: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__greaterEqual,axiom,
    mem(c_2Emachine__ieee_2Efp64__greaterEqual,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__greaterEqual,type,
    fo__c_2Emachine__ieee_2Efp64__greaterEqual: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__greaterEqual,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__greaterEqual(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp64__greaterEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__greaterThan,type,
    c_2Emachine__ieee_2Efp64__greaterThan: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__greaterThan,axiom,
    mem(c_2Emachine__ieee_2Efp64__greaterThan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__greaterThan,type,
    fo__c_2Emachine__ieee_2Efp64__greaterThan: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__greaterThan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__greaterThan(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp64__greaterThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__isFinite,type,
    c_2Emachine__ieee_2Efp64__isFinite: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__isFinite,axiom,
    mem(c_2Emachine__ieee_2Efp64__isFinite,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__isFinite,type,
    fo__c_2Emachine__ieee_2Efp64__isFinite: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__isFinite,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__isFinite(X0)) = ap(c_2Emachine__ieee_2Efp64__isFinite,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__isInfinite,type,
    c_2Emachine__ieee_2Efp64__isInfinite: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__isInfinite,axiom,
    mem(c_2Emachine__ieee_2Efp64__isInfinite,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__isInfinite,type,
    fo__c_2Emachine__ieee_2Efp64__isInfinite: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__isInfinite,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__isInfinite(X0)) = ap(c_2Emachine__ieee_2Efp64__isInfinite,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__isIntegral,type,
    c_2Emachine__ieee_2Efp64__isIntegral: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__isIntegral,axiom,
    mem(c_2Emachine__ieee_2Efp64__isIntegral,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__isIntegral,type,
    fo__c_2Emachine__ieee_2Efp64__isIntegral: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__isIntegral,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__isIntegral(X0)) = ap(c_2Emachine__ieee_2Efp64__isIntegral,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__isNan,type,
    c_2Emachine__ieee_2Efp64__isNan: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__isNan,axiom,
    mem(c_2Emachine__ieee_2Efp64__isNan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__isNan,type,
    fo__c_2Emachine__ieee_2Efp64__isNan: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__isNan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__isNan(X0)) = ap(c_2Emachine__ieee_2Efp64__isNan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__isNormal,type,
    c_2Emachine__ieee_2Efp64__isNormal: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__isNormal,axiom,
    mem(c_2Emachine__ieee_2Efp64__isNormal,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__isNormal,type,
    fo__c_2Emachine__ieee_2Efp64__isNormal: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__isNormal,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__isNormal(X0)) = ap(c_2Emachine__ieee_2Efp64__isNormal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__isSignallingNan,type,
    c_2Emachine__ieee_2Efp64__isSignallingNan: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__isSignallingNan,axiom,
    mem(c_2Emachine__ieee_2Efp64__isSignallingNan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__isSignallingNan,type,
    fo__c_2Emachine__ieee_2Efp64__isSignallingNan: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__isSignallingNan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__isSignallingNan(X0)) = ap(c_2Emachine__ieee_2Efp64__isSignallingNan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__isSubnormal,type,
    c_2Emachine__ieee_2Efp64__isSubnormal: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__isSubnormal,axiom,
    mem(c_2Emachine__ieee_2Efp64__isSubnormal,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__isSubnormal,type,
    fo__c_2Emachine__ieee_2Efp64__isSubnormal: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__isSubnormal,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__isSubnormal(X0)) = ap(c_2Emachine__ieee_2Efp64__isSubnormal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__isZero,type,
    c_2Emachine__ieee_2Efp64__isZero: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__isZero,axiom,
    mem(c_2Emachine__ieee_2Efp64__isZero,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__isZero,type,
    fo__c_2Emachine__ieee_2Efp64__isZero: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__isZero,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__isZero(X0)) = ap(c_2Emachine__ieee_2Efp64__isZero,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__lessEqual,type,
    c_2Emachine__ieee_2Efp64__lessEqual: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__lessEqual,axiom,
    mem(c_2Emachine__ieee_2Efp64__lessEqual,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__lessEqual,type,
    fo__c_2Emachine__ieee_2Efp64__lessEqual: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__lessEqual,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__lessEqual(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp64__lessEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__lessThan,type,
    c_2Emachine__ieee_2Efp64__lessThan: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__lessThan,axiom,
    mem(c_2Emachine__ieee_2Efp64__lessThan,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool))) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__lessThan,type,
    fo__c_2Emachine__ieee_2Efp64__lessThan: ( tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone * tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ) > tp__o ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__lessThan,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,X1: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__o(fo__c_2Emachine__ieee_2Efp64__lessThan(X0,X1)) = ap(ap(c_2Emachine__ieee_2Efp64__lessThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X1)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__mul,type,
    c_2Emachine__ieee_2Efp64__mul: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__mul,axiom,
    mem(c_2Emachine__ieee_2Efp64__mul,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__mul__add,type,
    c_2Emachine__ieee_2Efp64__mul__add: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__mul__add,axiom,
    mem(c_2Emachine__ieee_2Efp64__mul__add,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__mul__add__with__flags,type,
    c_2Emachine__ieee_2Efp64__mul__add__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__mul__add__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp64__mul__add__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__mul__sub,type,
    c_2Emachine__ieee_2Efp64__mul__sub: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__mul__sub,axiom,
    mem(c_2Emachine__ieee_2Efp64__mul__sub,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__mul__sub__with__flags,type,
    c_2Emachine__ieee_2Efp64__mul__sub__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__mul__sub__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__mul__with__flags,type,
    c_2Emachine__ieee_2Efp64__mul__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__mul__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp64__mul__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__negInf,type,
    c_2Emachine__ieee_2Efp64__negInf: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__negInf,axiom,
    mem(c_2Emachine__ieee_2Efp64__negInf,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__negMin,type,
    c_2Emachine__ieee_2Efp64__negMin: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__negMin,axiom,
    mem(c_2Emachine__ieee_2Efp64__negMin,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__negZero,type,
    c_2Emachine__ieee_2Efp64__negZero: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__negZero,axiom,
    mem(c_2Emachine__ieee_2Efp64__negZero,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__negate,type,
    c_2Emachine__ieee_2Efp64__negate: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__negate,axiom,
    mem(c_2Emachine__ieee_2Efp64__negate,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__posInf,type,
    c_2Emachine__ieee_2Efp64__posInf: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__posInf,axiom,
    mem(c_2Emachine__ieee_2Efp64__posInf,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__posMin,type,
    c_2Emachine__ieee_2Efp64__posMin: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__posMin,axiom,
    mem(c_2Emachine__ieee_2Efp64__posMin,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__posZero,type,
    c_2Emachine__ieee_2Efp64__posZero: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__posZero,axiom,
    mem(c_2Emachine__ieee_2Efp64__posZero,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__roundToIntegral,type,
    c_2Emachine__ieee_2Efp64__roundToIntegral: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__roundToIntegral,axiom,
    mem(c_2Emachine__ieee_2Efp64__roundToIntegral,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__sqrt,type,
    c_2Emachine__ieee_2Efp64__sqrt: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__sqrt,axiom,
    mem(c_2Emachine__ieee_2Efp64__sqrt,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__sqrt__with__flags,type,
    c_2Emachine__ieee_2Efp64__sqrt__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__sqrt__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp64__sqrt__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__sub,type,
    c_2Emachine__ieee_2Efp64__sub: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__sub,axiom,
    mem(c_2Emachine__ieee_2Efp64__sub,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__sub__with__flags,type,
    c_2Emachine__ieee_2Efp64__sub__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__sub__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp64__sub__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__to__float,type,
    c_2Emachine__ieee_2Efp64__to__float: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__to__float,axiom,
    mem(c_2Emachine__ieee_2Efp64__to__float,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__to__fp16,type,
    c_2Emachine__ieee_2Efp64__to__fp16: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__to__fp16,axiom,
    mem(c_2Emachine__ieee_2Efp64__to__fp16,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__to__fp16__with__flags,type,
    c_2Emachine__ieee_2Efp64__to__fp16__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__to__fp16__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp64__to__fp16__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__to__fp32,type,
    c_2Emachine__ieee_2Efp64__to__fp32: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__to__fp32,axiom,
    mem(c_2Emachine__ieee_2Efp64__to__fp32,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__to__fp32__with__flags,type,
    c_2Emachine__ieee_2Efp64__to__fp32__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__to__fp32__with__flags,axiom,
    mem(c_2Emachine__ieee_2Efp64__to__fp32__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Efp64__to__int,type,
    c_2Emachine__ieee_2Efp64__to__int: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__to__int,axiom,
    mem(c_2Emachine__ieee_2Efp64__to__int,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Eoption_2Eoption(ty_2Einteger_2Eint)))) ).

tff(tp_c_2Emachine__ieee_2Efp64__to__real,type,
    c_2Emachine__ieee_2Efp64__to__real: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__to__real,axiom,
    mem(c_2Emachine__ieee_2Efp64__to__real,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Erealax_2Ereal)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__to__real,type,
    fo__c_2Emachine__ieee_2Efp64__to__real: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__ty_2Erealax_2Ereal ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__to__real,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__ty_2Erealax_2Ereal(fo__c_2Emachine__ieee_2Efp64__to__real(X0)) = ap(c_2Emachine__ieee_2Efp64__to__real,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__to__value,type,
    c_2Emachine__ieee_2Efp64__to__value: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__to__value,axiom,
    mem(c_2Emachine__ieee_2Efp64__to__value,arr(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat__value)) ).

tff(stp_fo_c_2Emachine__ieee_2Efp64__to__value,type,
    fo__c_2Emachine__ieee_2Efp64__to__value: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > tp__ty_2Ebinary__ieee_2Efloat__value ).

tff(stp_eq_fo_c_2Emachine__ieee_2Efp64__to__value,axiom,
    ! [X0: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( inj__ty_2Ebinary__ieee_2Efloat__value(fo__c_2Emachine__ieee_2Efp64__to__value(X0)) = ap(c_2Emachine__ieee_2Efp64__to__value,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X0)) ) ).

tff(tp_c_2Emachine__ieee_2Efp64__top,type,
    c_2Emachine__ieee_2Efp64__top: $i ).

tff(mem_c_2Emachine__ieee_2Efp64__top,axiom,
    mem(c_2Emachine__ieee_2Efp64__top,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Eint__to__fp16,type,
    c_2Emachine__ieee_2Eint__to__fp16: $i ).

tff(mem_c_2Emachine__ieee_2Eint__to__fp16,axiom,
    mem(c_2Emachine__ieee_2Eint__to__fp16,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Einteger_2Eint,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Eint__to__fp32,type,
    c_2Emachine__ieee_2Eint__to__fp32: $i ).

tff(mem_c_2Emachine__ieee_2Eint__to__fp32,axiom,
    mem(c_2Emachine__ieee_2Eint__to__fp32,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Einteger_2Eint,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Eint__to__fp64,type,
    c_2Emachine__ieee_2Eint__to__fp64: $i ).

tff(mem_c_2Emachine__ieee_2Eint__to__fp64,axiom,
    mem(c_2Emachine__ieee_2Eint__to__fp64,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Einteger_2Eint,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Ereal__to__fp16,type,
    c_2Emachine__ieee_2Ereal__to__fp16: $i ).

tff(mem_c_2Emachine__ieee_2Ereal__to__fp16,axiom,
    mem(c_2Emachine__ieee_2Ereal__to__fp16,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Erealax_2Ereal,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(tp_c_2Emachine__ieee_2Ereal__to__fp16__with__flags,type,
    c_2Emachine__ieee_2Ereal__to__fp16__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Ereal__to__fp16__with__flags,axiom,
    mem(c_2Emachine__ieee_2Ereal__to__fp16__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Ereal__to__fp32,type,
    c_2Emachine__ieee_2Ereal__to__fp32: $i ).

tff(mem_c_2Emachine__ieee_2Ereal__to__fp32,axiom,
    mem(c_2Emachine__ieee_2Ereal__to__fp32,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Erealax_2Ereal,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

tff(tp_c_2Emachine__ieee_2Ereal__to__fp32__with__flags,type,
    c_2Emachine__ieee_2Ereal__to__fp32__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Ereal__to__fp32__with__flags,axiom,
    mem(c_2Emachine__ieee_2Ereal__to__fp32__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Ereal__to__fp64,type,
    c_2Emachine__ieee_2Ereal__to__fp64: $i ).

tff(mem_c_2Emachine__ieee_2Ereal__to__fp64,axiom,
    mem(c_2Emachine__ieee_2Ereal__to__fp64,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Erealax_2Ereal,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))))) ).

tff(tp_c_2Emachine__ieee_2Ereal__to__fp64__with__flags,type,
    c_2Emachine__ieee_2Ereal__to__fp64__with__flags: $i ).

tff(mem_c_2Emachine__ieee_2Ereal__to__fp64__with__flags,axiom,
    mem(c_2Emachine__ieee_2Ereal__to__fp64__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))))) ).

tff(stp_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(stp_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))
     => ( X = inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__to__float__def,axiom,
    ! [V0w: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w))) = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ebinary__ieee_2Efloat__Sign__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone),ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w)))),ap(ap(c_2Ebinary__ieee_2Efloat__Exponent__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w)))),ap(ap(c_2Ebinary__ieee_2Efloat__Significand__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w)))),c_2Ebool_2EARB(ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efloat__to__fp16__def,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ewords_2Eword__concat(ty_2Eone_2Eone,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ebinary__ieee_2Efloat__Sign(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))),ap(ap(c_2Ewords_2Eword__concat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))),ap(c_2Ebinary__ieee_2Efloat__Exponent(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))),ap(c_2Ebinary__ieee_2Efloat__Significand(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__to__real__def,axiom,
    c_2Emachine__ieee_2Efp16__to__real = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Erealax_2Ereal,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__to__real(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp16__to__value__def,axiom,
    c_2Emachine__ieee_2Efp16__to__value = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat__value,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__value(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float) ).

tff(ax_thm_2Emachine__ieee_2Ereal__to__fp16__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Ereal__to__fp16,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Erealax_2Ereal,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efloat__to__fp16),ap(c_2Ebinary__ieee_2Ereal__to__float(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))) ) ).

tff(stp_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(ax_thm_2Emachine__ieee_2Ereal__to__fp16__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Ereal__to__fp16__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16)),ap(c_2Ebinary__ieee_2Ereal__to__float__with__flags(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))) ) ).

tff(ax_thm_2Emachine__ieee_2Eint__to__fp16__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__ty_2Einteger_2Eint] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Eint__to__fp16,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__ty_2Einteger_2Eint(V1a))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Ereal__to__fp16,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Eintreal_2Ereal__of__int,inj__ty_2Einteger_2Eint(V1a)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__roundToIntegral__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp16__roundToIntegral,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ebinary__ieee_2Efloat__round__to__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp16__to__float)) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__to__int__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp16__to__int,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Eoption_2Eoption(ty_2Einteger_2Eint),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ebinary__ieee_2Efloat__to__int(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp16__to__float) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__sqrt__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp16__sqrt,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp16__to__float))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__sqrt__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp16__sqrt__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16)),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp16__to__float)) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__negate__def,axiom,
    c_2Emachine__ieee_2Efp16__negate = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__negate(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float)) ).

tff(ax_thm_2Emachine__ieee_2Efp16__abs__def,axiom,
    c_2Emachine__ieee_2Efp16__abs = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__abs(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float)) ).

tff(ax_thm_2Emachine__ieee_2Efp16__isNan__def,axiom,
    c_2Emachine__ieee_2Efp16__isNan = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__is__nan(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp16__isSignallingNan__def,axiom,
    c_2Emachine__ieee_2Efp16__isSignallingNan = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__is__signalling(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp16__isIntegral__def,axiom,
    c_2Emachine__ieee_2Efp16__isIntegral = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__is__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp16__isZero__def,axiom,
    c_2Emachine__ieee_2Efp16__isZero = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__is__zero(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp16__isNormal__def,axiom,
    c_2Emachine__ieee_2Efp16__isNormal = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__is__normal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp16__isSubnormal__def,axiom,
    c_2Emachine__ieee_2Efp16__isSubnormal = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__is__subnormal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp16__isFinite__def,axiom,
    c_2Emachine__ieee_2Efp16__isFinite = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__is__finite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp16__isInfinite__def,axiom,
    c_2Emachine__ieee_2Efp16__isInfinite = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebinary__ieee_2Efloat__is__infinite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Emachine__ieee_2Efp16__to__float) ).

tff(stp_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))) ).

tff(stp_iso_mem_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))
     => ( X = inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__posInf__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp16__posInf) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__plus__infinity(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp16__negInf__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp16__negInf) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__minus__infinity(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp16__posZero__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp16__posZero) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__plus__zero(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp16__negZero__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp16__negZero) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__minus__zero(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp16__posMin__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp16__posMin) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__plus__min(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp16__negMin__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp16__negMin) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__minus__min(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp16__top__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp16__top) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__top(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp16__bottom__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp16__bottom) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__bottom(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp16__add__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__sub__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__mul__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__div__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__div,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__add__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__sub__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__mul__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__div__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__compare__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp16__compare,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__equal__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp16__equal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__lessThan__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp16__lessThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__lessEqual__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp16__lessEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__greaterThan__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp16__greaterThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__greaterEqual__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp16__greaterEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__mul__add__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__mul__sub__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__mul__add__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__mul__sub__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))))) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__to__float__11,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1y: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))) = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) )
    <=> ( V0x = V1y ) ) ).

tff(conj_thm_2Emachine__ieee_2Efloat__to__fp16__11,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1y: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) )
    <=> ( V0x = V1y ) ) ).

tff(conj_thm_2Emachine__ieee_2Efloat__to__fp16__fp16__to__float,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)))) = V0x ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__to__float__float__to__fp16,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)))) = V0x ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__nchotomy,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
    ? [V1y: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( V0x = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) ) ).

tff(conj_thm_2Emachine__ieee_2Efloat__fp16__nchotomy,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
    ? [V1y: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( V0x = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp16__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) ) ).

tff(lamtp_f3135,type,
    f3135: ( tp__ty_2Enum_2Enum * tp__ty_2Enum_2Enum ) > $i ).

tff(lameq_f3135,axiom,
    ! [V2f: tp__ty_2Enum_2Enum,V3s: tp__ty_2Enum_2Enum,V4e: tp__ty_2Enum_2Enum] : ( ap(f3135(V2f,V3s),inj__ty_2Enum_2Enum(V4e)) = ap(ap(c_2Ebinary__ieee_2Efloat__Sign__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone),ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(ap(c_2Earithmetic_2EMOD,inj__ty_2Enum_2Enum(V3s)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))),ap(ap(c_2Ebinary__ieee_2Efloat__Exponent__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Enum_2Enum(V4e)))),ap(ap(c_2Ebinary__ieee_2Efloat__Significand__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Enum_2Enum(V2f)))),c_2Ebool_2EARB(ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ) ).

tff(lamtp_f3136,type,
    f3136: tp__ty_2Enum_2Enum > $i ).

tff(lameq_f3136,axiom,
    ! [V2f: tp__ty_2Enum_2Enum,V3s: tp__ty_2Enum_2Enum] : ( ap(f3136(V2f),inj__ty_2Enum_2Enum(V3s)) = f3135(V2f,V3s) ) ).

tff(lamtp_f3137,type,
    f3137: tp__ty_2Enum_2Enum > $i ).

tff(lameq_f3137,axiom,
    ! [V1q: tp__ty_2Enum_2Enum,V2f: tp__ty_2Enum_2Enum] : ( ap(f3137(V1q),inj__ty_2Enum_2Enum(V2f)) = ap(ap(c_2Ebool_2ELET(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Epair_2EUNCURRY(ty_2Enum_2Enum,ty_2Enum_2Enum,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),f3136(V2f))),ap(ap(c_2Ebit_2EDIVMOD__2EXP,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),inj__ty_2Enum_2Enum(V1q))) ) ).

tff(lamtp_f3138,type,
    f3138: $i ).

tff(lameq_f3138,axiom,
    ! [V1q: tp__ty_2Enum_2Enum] : ( ap(f3138,inj__ty_2Enum_2Enum(V1q)) = f3137(V1q) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__to__float__n2w,axiom,
    ! [V0n: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V0n)))) = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ebool_2ELET(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Epair_2EUNCURRY(ty_2Enum_2Enum,ty_2Enum_2Enum,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),f3138)),ap(ap(c_2Ebit_2EDIVMOD__2EXP,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Enum_2Enum(V0n)))) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__sqrt,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp16__sqrt,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp16__sqrt,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V3a))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__add,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__add,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__add,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__add,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__sub,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__sub,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__sub,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__sub,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__mul,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__div,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__div,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__div,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__div,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__div,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__compare,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp16__compare,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp16__compare,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp16__compare,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp16__compare,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__equal,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__equal,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__equal,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__equal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__equal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__lessThan,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__lessThan,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__lessThan,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__lessThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__lessThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__lessEqual,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__lessEqual,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__lessEqual,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__lessEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__lessEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__greaterThan,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__greaterThan,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__greaterThan,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__greaterThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__greaterThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__greaterEqual,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__greaterEqual,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__greaterEqual,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__greaterEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp16__greaterEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__to__real,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Erealax_2Ereal(ap(c_2Emachine__ieee_2Efp16__to__real,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__ty_2Erealax_2Ereal(ap(c_2Emachine__ieee_2Efp16__to__real,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__to__value,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Emachine__ieee_2Efp16__to__value,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Ebinary__ieee_2Efloat__value(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Emachine__ieee_2Efp16__to__value,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a)))) = surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Ebinary__ieee_2Efloat__value(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__to__int,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Emachine__ieee_2Efp16__to__int,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Ebinary__ieee_2Efloat__to__int(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Emachine__ieee_2Efp16__to__int,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Ebinary__ieee_2Efloat__to__int(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V3a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__abs,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp16__abs,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__abs(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp16__abs,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__abs(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__negate,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp16__negate,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__negate(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp16__negate,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Ebinary__ieee_2Efloat__negate(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__isNan,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isNan,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__nan(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isNan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__nan(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__isSignallingNan,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isSignallingNan,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__signalling(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isSignallingNan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__signalling(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__isIntegral,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isIntegral,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isIntegral,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__isZero,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isZero,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__zero(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isZero,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__zero(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__isNormal,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isNormal,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__normal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isNormal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__normal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__isSubnormal,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isSubnormal,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__subnormal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isSubnormal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__subnormal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__isFinite,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isFinite,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__finite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isFinite,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__finite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__isInfinite,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isInfinite,ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__infinite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp16__isInfinite,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__infinite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__roundToIntegral,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp16__roundToIntegral,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(ap(c_2Ebinary__ieee_2Efloat__round__to__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp16__roundToIntegral,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(ap(c_2Ebinary__ieee_2Efloat__round__to__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V3a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__sqrt__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp16__sqrt__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp16__sqrt__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V3a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__add__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__sub__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__mul__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__div__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp16__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__mul__add,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c))))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5c))))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c))))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V13c))))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c))))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V21c))))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c))))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V29c))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__mul__sub,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c))))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5c))))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c))))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V13c))))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c))))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V21c))))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c))))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp16,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V29c))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__mul__add__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5c)))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V13c)))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V21c)))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V29c)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp16__mul__sub__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V5c)))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V13c)))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V21c)))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp16,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp16),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp16__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V29c)))))) ) ) ).

tff(stp_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))
     => ( X = inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__to__float__def,axiom,
    ! [V0w: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w))) = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ebinary__ieee_2Efloat__Sign__fupd(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone),ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w)))),ap(ap(c_2Ebinary__ieee_2Efloat__Exponent__fupd(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w)))),ap(ap(c_2Ebinary__ieee_2Efloat__Significand__fupd(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w)))),c_2Ebool_2EARB(ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efloat__to__fp32__def,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ewords_2Eword__concat(ty_2Eone_2Eone,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(c_2Ebinary__ieee_2Efloat__Sign(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))),ap(ap(c_2Ewords_2Eword__concat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ap(c_2Ebinary__ieee_2Efloat__Exponent(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))),ap(c_2Ebinary__ieee_2Efloat__Significand(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__to__real__def,axiom,
    c_2Emachine__ieee_2Efp32__to__real = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Erealax_2Ereal,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__to__real(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp32__to__value__def,axiom,
    c_2Emachine__ieee_2Efp32__to__value = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat__value,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__value(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float) ).

tff(ax_thm_2Emachine__ieee_2Ereal__to__fp32__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Ereal__to__fp32,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Erealax_2Ereal,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efloat__to__fp32),ap(c_2Ebinary__ieee_2Ereal__to__float(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))) ) ).

tff(stp_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))
     => ( X = inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(ax_thm_2Emachine__ieee_2Ereal__to__fp32__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Ereal__to__fp32__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32)),ap(c_2Ebinary__ieee_2Ereal__to__float__with__flags(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))) ) ).

tff(ax_thm_2Emachine__ieee_2Eint__to__fp32__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__ty_2Einteger_2Eint] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Eint__to__fp32,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__ty_2Einteger_2Eint(V1a))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Ereal__to__fp32,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Eintreal_2Ereal__of__int,inj__ty_2Einteger_2Eint(V1a)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__roundToIntegral__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp32__roundToIntegral,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ebinary__ieee_2Efloat__round__to__integral(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp32__to__float)) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__to__int__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp32__to__int,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Eoption_2Eoption(ty_2Einteger_2Eint),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ebinary__ieee_2Efloat__to__int(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp32__to__float) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__sqrt__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp32__sqrt,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp32__to__float))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__sqrt__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp32__sqrt__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32)),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp32__to__float)) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__negate__def,axiom,
    c_2Emachine__ieee_2Efp32__negate = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__negate(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float)) ).

tff(ax_thm_2Emachine__ieee_2Efp32__abs__def,axiom,
    c_2Emachine__ieee_2Efp32__abs = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__abs(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float)) ).

tff(ax_thm_2Emachine__ieee_2Efp32__isNan__def,axiom,
    c_2Emachine__ieee_2Efp32__isNan = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__nan(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp32__isSignallingNan__def,axiom,
    c_2Emachine__ieee_2Efp32__isSignallingNan = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__signalling(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp32__isIntegral__def,axiom,
    c_2Emachine__ieee_2Efp32__isIntegral = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__integral(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp32__isZero__def,axiom,
    c_2Emachine__ieee_2Efp32__isZero = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__zero(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp32__isNormal__def,axiom,
    c_2Emachine__ieee_2Efp32__isNormal = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__normal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp32__isSubnormal__def,axiom,
    c_2Emachine__ieee_2Efp32__isSubnormal = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__subnormal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp32__isFinite__def,axiom,
    c_2Emachine__ieee_2Efp32__isFinite = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__finite(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp32__isInfinite__def,axiom,
    c_2Emachine__ieee_2Efp32__isInfinite = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__infinite(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float) ).

tff(stp_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Epair_2Eprod(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Epair_2Eprod(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__posInf__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp32__posInf) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__plus__infinity(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp32__negInf__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp32__negInf) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__minus__infinity(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp32__posZero__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp32__posZero) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__plus__zero(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp32__negZero__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp32__negZero) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__minus__zero(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp32__posMin__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp32__posMin) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__plus__min(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp32__negMin__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp32__negMin) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__minus__min(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp32__top__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp32__top) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__top(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp32__bottom__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp32__bottom) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__bottom(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp32__add__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__sub__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__mul__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__div__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__div,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__add__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__sub__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__mul__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__div__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__compare__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp32__compare,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__equal__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp32__equal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__lessThan__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp32__lessThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__lessEqual__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp32__lessEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__greaterThan__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp32__greaterThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__greaterEqual__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp32__greaterEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__mul__add__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__mul__sub__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__mul__add__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__mul__sub__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))))) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__to__float__11,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1y: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))) = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) )
    <=> ( V0x = V1y ) ) ).

tff(conj_thm_2Emachine__ieee_2Efloat__to__fp32__11,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1y: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) )
    <=> ( V0x = V1y ) ) ).

tff(conj_thm_2Emachine__ieee_2Efloat__to__fp32__fp32__to__float,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)))) = V0x ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__to__float__float__to__fp32,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)))) = V0x ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__nchotomy,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
    ? [V1y: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( V0x = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) ) ).

tff(conj_thm_2Emachine__ieee_2Efloat__fp32__nchotomy,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
    ? [V1y: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( V0x = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp32__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) ) ).

tff(lamtp_f3139,type,
    f3139: ( tp__ty_2Enum_2Enum * tp__ty_2Enum_2Enum ) > $i ).

tff(lameq_f3139,axiom,
    ! [V2f: tp__ty_2Enum_2Enum,V3s: tp__ty_2Enum_2Enum,V4e: tp__ty_2Enum_2Enum] : ( ap(f3139(V2f,V3s),inj__ty_2Enum_2Enum(V4e)) = ap(ap(c_2Ebinary__ieee_2Efloat__Sign__fupd(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone),ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(ap(c_2Earithmetic_2EMOD,inj__ty_2Enum_2Enum(V3s)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))),ap(ap(c_2Ebinary__ieee_2Efloat__Exponent__fupd(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Enum_2Enum(V4e)))),ap(ap(c_2Ebinary__ieee_2Efloat__Significand__fupd(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),inj__ty_2Enum_2Enum(V2f)))),c_2Ebool_2EARB(ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ) ).

tff(lamtp_f3140,type,
    f3140: tp__ty_2Enum_2Enum > $i ).

tff(lameq_f3140,axiom,
    ! [V2f: tp__ty_2Enum_2Enum,V3s: tp__ty_2Enum_2Enum] : ( ap(f3140(V2f),inj__ty_2Enum_2Enum(V3s)) = f3139(V2f,V3s) ) ).

tff(lamtp_f3141,type,
    f3141: tp__ty_2Enum_2Enum > $i ).

tff(lameq_f3141,axiom,
    ! [V1q: tp__ty_2Enum_2Enum,V2f: tp__ty_2Enum_2Enum] : ( ap(f3141(V1q),inj__ty_2Enum_2Enum(V2f)) = ap(ap(c_2Ebool_2ELET(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Epair_2EUNCURRY(ty_2Enum_2Enum,ty_2Enum_2Enum,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),f3140(V2f))),ap(ap(c_2Ebit_2EDIVMOD__2EXP,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Enum_2Enum(V1q))) ) ).

tff(lamtp_f3142,type,
    f3142: $i ).

tff(lameq_f3142,axiom,
    ! [V1q: tp__ty_2Enum_2Enum] : ( ap(f3142,inj__ty_2Enum_2Enum(V1q)) = f3141(V1q) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__to__float__n2w,axiom,
    ! [V0n: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V0n)))) = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ebool_2ELET(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Epair_2EUNCURRY(ty_2Enum_2Enum,ty_2Enum_2Enum,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),f3142)),ap(ap(c_2Ebit_2EDIVMOD__2EXP,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))),inj__ty_2Enum_2Enum(V0n)))) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__sqrt,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp32__sqrt,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp32__sqrt,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V3a))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__add,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__add,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__add,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__add,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__sub,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__sub,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__sub,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__sub,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__mul,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__div,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__div,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__div,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__div,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__div,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__compare,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp32__compare,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp32__compare,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp32__compare,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp32__compare,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__equal,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__equal,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__equal,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__equal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__equal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__lessThan,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__lessThan,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__lessThan,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__lessThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__lessThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__lessEqual,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__lessEqual,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__lessEqual,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__lessEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__lessEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__greaterThan,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__greaterThan,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__greaterThan,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__greaterThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__greaterThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__greaterEqual,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__greaterEqual,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__greaterEqual,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__greaterEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp32__greaterEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__to__real,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Erealax_2Ereal(ap(c_2Emachine__ieee_2Efp32__to__real,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__ty_2Erealax_2Ereal(ap(c_2Emachine__ieee_2Efp32__to__real,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__to__value,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Emachine__ieee_2Efp32__to__value,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Ebinary__ieee_2Efloat__value(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Emachine__ieee_2Efp32__to__value,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a)))) = surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Ebinary__ieee_2Efloat__value(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__to__int,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Emachine__ieee_2Efp32__to__int,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Ebinary__ieee_2Efloat__to__int(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Emachine__ieee_2Efp32__to__int,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Ebinary__ieee_2Efloat__to__int(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V3a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__abs,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp32__abs,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__abs(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp32__abs,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__abs(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__negate,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp32__negate,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__negate(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp32__negate,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Ebinary__ieee_2Efloat__negate(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__isNan,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isNan,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__nan(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isNan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__nan(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__isSignallingNan,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isSignallingNan,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__signalling(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isSignallingNan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__signalling(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__isIntegral,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isIntegral,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__integral(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isIntegral,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__integral(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__isZero,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isZero,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__zero(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isZero,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__zero(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__isNormal,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isNormal,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__normal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isNormal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__normal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__isSubnormal,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isSubnormal,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__subnormal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isSubnormal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__subnormal(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__isFinite,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isFinite,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__finite(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isFinite,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__finite(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__isInfinite,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isInfinite,ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__infinite(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp32__isInfinite,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__infinite(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__roundToIntegral,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp32__roundToIntegral,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(ap(c_2Ebinary__ieee_2Efloat__round__to__integral(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp32__roundToIntegral,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(ap(c_2Ebinary__ieee_2Efloat__round__to__integral(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V3a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__sqrt__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp32__sqrt__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp32__sqrt__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V3a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__add__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__sub__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__mul__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__div__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp32__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__mul__add,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c))))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5c))))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c))))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V13c))))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c))))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V21c))))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c))))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V29c))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__mul__sub,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c))))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5c))))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c))))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V13c))))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c))))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V21c))))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c))))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp32,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V29c))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__mul__add__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5c)))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V13c)))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V21c)))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V29c)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp32__mul__sub__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V5c)))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V13c)))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V21c)))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp32,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp32),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp32__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V29c)))))) ) ) ).

tff(stp_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))))))
     => ( X = inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) ) ) ).

tff(stp_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__to__float__def,axiom,
    ! [V0w: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w))) = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ebinary__ieee_2Efloat__Sign__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone),ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w)))),ap(ap(c_2Ebinary__ieee_2Efloat__Exponent__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w)))),ap(ap(c_2Ebinary__ieee_2Efloat__Significand__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))))),ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))))),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0w)))),c_2Ebool_2EARB(ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ) ).

tff(stp_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))))
     => ( X = inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) ) ) ).

tff(ax_thm_2Emachine__ieee_2Efloat__to__fp64__def,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ewords_2Eword__concat(ty_2Eone_2Eone,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ap(c_2Ebinary__ieee_2Efloat__Sign(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))),ap(ap(c_2Ewords_2Eword__concat(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))))),ap(c_2Ebinary__ieee_2Efloat__Exponent(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))),ap(c_2Ebinary__ieee_2Efloat__Significand(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__to__real__def,axiom,
    c_2Emachine__ieee_2Efp64__to__real = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Erealax_2Ereal,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__to__real(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp64__to__value__def,axiom,
    c_2Emachine__ieee_2Efp64__to__value = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat__value,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__value(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float) ).

tff(ax_thm_2Emachine__ieee_2Ereal__to__fp64__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Ereal__to__fp64,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Erealax_2Ereal,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efloat__to__fp64),ap(c_2Ebinary__ieee_2Ereal__to__float(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))) ) ).

tff(stp_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))) ).

tff(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))
     => ( X = inj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(ax_thm_2Emachine__ieee_2Ereal__to__fp64__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Ereal__to__fp64__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64)),ap(c_2Ebinary__ieee_2Ereal__to__float__with__flags(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))) ) ).

tff(ax_thm_2Emachine__ieee_2Eint__to__fp64__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__ty_2Einteger_2Eint] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Eint__to__fp64,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__ty_2Einteger_2Eint(V1a))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Ereal__to__fp64,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Eintreal_2Ereal__of__int,inj__ty_2Einteger_2Eint(V1a)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__roundToIntegral__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp64__roundToIntegral,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ebinary__ieee_2Efloat__round__to__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp64__to__float)) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__to__int__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp64__to__int,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Eoption_2Eoption(ty_2Einteger_2Eint),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ebinary__ieee_2Efloat__to__int(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp64__to__float) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__sqrt__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp64__sqrt,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp64__to__float))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__sqrt__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp64__sqrt__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64)),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode))),c_2Emachine__ieee_2Efp64__to__float)) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__negate__def,axiom,
    c_2Emachine__ieee_2Efp64__negate = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__negate(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float)) ).

tff(ax_thm_2Emachine__ieee_2Efp64__abs__def,axiom,
    c_2Emachine__ieee_2Efp64__abs = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__abs(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float)) ).

tff(ax_thm_2Emachine__ieee_2Efp64__isNan__def,axiom,
    c_2Emachine__ieee_2Efp64__isNan = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__nan(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp64__isSignallingNan__def,axiom,
    c_2Emachine__ieee_2Efp64__isSignallingNan = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__signalling(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp64__isIntegral__def,axiom,
    c_2Emachine__ieee_2Efp64__isIntegral = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp64__isZero__def,axiom,
    c_2Emachine__ieee_2Efp64__isZero = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__zero(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp64__isNormal__def,axiom,
    c_2Emachine__ieee_2Efp64__isNormal = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__normal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp64__isSubnormal__def,axiom,
    c_2Emachine__ieee_2Efp64__isSubnormal = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__subnormal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp64__isFinite__def,axiom,
    c_2Emachine__ieee_2Efp64__isFinite = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__finite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float) ).

tff(ax_thm_2Emachine__ieee_2Efp64__isInfinite__def,axiom,
    c_2Emachine__ieee_2Efp64__isInfinite = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),bool,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Ebinary__ieee_2Efloat__is__infinite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float) ).

tff(stp_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Epair_2Eprod_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__posInf__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp64__posInf) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__plus__infinity(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp64__negInf__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp64__negInf) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__minus__infinity(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp64__posZero__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp64__posZero) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__plus__zero(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp64__negZero__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp64__negZero) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__minus__zero(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp64__posMin__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp64__posMin) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__plus__min(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp64__negMin__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp64__negMin) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__minus__min(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp64__top__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp64__top) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__top(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp64__bottom__def,axiom,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(c_2Emachine__ieee_2Efp64__bottom) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__bottom(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ).

tff(ax_thm_2Emachine__ieee_2Efp64__add__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__sub__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__mul__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__div__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__div,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__add__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__sub__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__mul__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__div__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__compare__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp64__compare,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__equal__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp64__equal,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__lessThan__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp64__lessThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__lessEqual__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp64__lessEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__greaterThan__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp64__greaterThan,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__greaterEqual__def,axiom,
    ! [V0a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Emachine__ieee_2Efp64__greaterEqual,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))
    <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__mul__add__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__mul__sub__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c)))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__mul__add__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__mul__sub__with__flags__def,axiom,
    ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3c: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3c))))) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__to__float__11,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1y: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))) = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) )
    <=> ( V0x = V1y ) ) ).

tff(conj_thm_2Emachine__ieee_2Efloat__to__fp64__11,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1y: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) )
    <=> ( V0x = V1y ) ) ).

tff(conj_thm_2Emachine__ieee_2Efloat__to__fp64__fp64__to__float,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)))) = V0x ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__to__float__float__to__fp64,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)))) = V0x ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__nchotomy,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
    ? [V1y: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( V0x = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) ) ).

tff(conj_thm_2Emachine__ieee_2Efloat__fp64__nchotomy,axiom,
    ! [V0x: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
    ? [V1y: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( V0x = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp64__to__float,inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1y))) ) ).

tff(lamtp_f3143,type,
    f3143: ( tp__ty_2Enum_2Enum * tp__ty_2Enum_2Enum ) > $i ).

tff(lameq_f3143,axiom,
    ! [V2f: tp__ty_2Enum_2Enum,V3s: tp__ty_2Enum_2Enum,V4e: tp__ty_2Enum_2Enum] : ( ap(f3143(V2f,V3s),inj__ty_2Enum_2Enum(V4e)) = ap(ap(c_2Ebinary__ieee_2Efloat__Sign__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone),ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(ap(c_2Earithmetic_2EMOD,inj__ty_2Enum_2Enum(V3s)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))),ap(ap(c_2Ebinary__ieee_2Efloat__Exponent__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Enum_2Enum(V4e)))),ap(ap(c_2Ebinary__ieee_2Efloat__Significand__fupd(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Ecombin_2EK(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(V2f)))),c_2Ebool_2EARB(ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))) ) ).

tff(lamtp_f3144,type,
    f3144: tp__ty_2Enum_2Enum > $i ).

tff(lameq_f3144,axiom,
    ! [V2f: tp__ty_2Enum_2Enum,V3s: tp__ty_2Enum_2Enum] : ( ap(f3144(V2f),inj__ty_2Enum_2Enum(V3s)) = f3143(V2f,V3s) ) ).

tff(lamtp_f3145,type,
    f3145: tp__ty_2Enum_2Enum > $i ).

tff(lameq_f3145,axiom,
    ! [V1q: tp__ty_2Enum_2Enum,V2f: tp__ty_2Enum_2Enum] : ( ap(f3145(V1q),inj__ty_2Enum_2Enum(V2f)) = ap(ap(c_2Ebool_2ELET(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Epair_2EUNCURRY(ty_2Enum_2Enum,ty_2Enum_2Enum,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),f3144(V2f))),ap(ap(c_2Ebit_2EDIVMOD__2EXP,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Enum_2Enum(V1q))) ) ).

tff(lamtp_f3146,type,
    f3146: $i ).

tff(lameq_f3146,axiom,
    ! [V1q: tp__ty_2Enum_2Enum] : ( ap(f3146,inj__ty_2Enum_2Enum(V1q)) = f3145(V1q) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__to__float__n2w,axiom,
    ! [V0n: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V0n)))) = surj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ebool_2ELET(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(c_2Epair_2EUNCURRY(ty_2Enum_2Enum,ty_2Enum_2Enum,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),f3146)),ap(ap(c_2Ebit_2EDIVMOD__2EXP,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))))),inj__ty_2Enum_2Enum(V0n)))) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__sqrt,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp64__sqrt,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp64__sqrt,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V3a))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__add,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__add,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__add,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__add,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__sub,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__sub,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__sub,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__sub,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__mul,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__div,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__div,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b))))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__div,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b))))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__div,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b))))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__div,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__compare,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp64__compare,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp64__compare,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp64__compare,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] : ( surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Emachine__ieee_2Efp64__compare,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b)))) = surj__ty_2Ebinary__ieee_2Efloat__compare(ap(ap(c_2Ebinary__ieee_2Efloat__compare(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__equal,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__equal,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__equal,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__equal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__equal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__lessThan,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__lessThan,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__lessThan,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__lessThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__lessThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__lessEqual,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__lessEqual,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__lessEqual,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__lessEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__lessEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__less__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__greaterThan,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__greaterThan,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__greaterThan,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__greaterThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__greaterThan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__than(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__greaterEqual,axiom,
    ( ! [V0b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__greaterEqual,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0b))) )
    & ! [V2b: tp__ty_2Enum_2Enum,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__greaterEqual,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V2b))))) )
    & ! [V4b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V5a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__greaterEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V4b))) )
    & ! [V6b: tp__ty_2Enum_2Enum,V7a: tp__ty_2Enum_2Enum] :
        ( p(ap(ap(c_2Emachine__ieee_2Efp64__greaterEqual,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))
      <=> p(ap(ap(c_2Ebinary__ieee_2Efloat__greater__equal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V7a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V6b))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__to__real,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Erealax_2Ereal(ap(c_2Emachine__ieee_2Efp64__to__real,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__ty_2Erealax_2Ereal(ap(c_2Emachine__ieee_2Efp64__to__real,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__to__value,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Emachine__ieee_2Efp64__to__value,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Ebinary__ieee_2Efloat__value(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Emachine__ieee_2Efp64__to__value,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a)))) = surj__ty_2Ebinary__ieee_2Efloat__value(ap(c_2Ebinary__ieee_2Efloat__value(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__to__int,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Emachine__ieee_2Efp64__to__int,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Ebinary__ieee_2Efloat__to__int(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Emachine__ieee_2Efp64__to__int,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Eoption_2Eoption_ty_2Einteger_2Eint(ap(ap(c_2Ebinary__ieee_2Efloat__to__int(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V3a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__abs,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp64__abs,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__abs(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp64__abs,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__abs(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__negate,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp64__negate,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__negate(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a)))) )
    & ! [V1a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efp64__negate,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Ebinary__ieee_2Efloat__negate(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__isNan,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isNan,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__nan(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isNan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__nan(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__isSignallingNan,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isSignallingNan,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__signalling(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isSignallingNan,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__signalling(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__isIntegral,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isIntegral,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isIntegral,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__isZero,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isZero,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__zero(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isZero,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__zero(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__isNormal,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isNormal,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__normal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isNormal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__normal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__isSubnormal,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isSubnormal,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__subnormal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isSubnormal,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__subnormal(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__isFinite,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isFinite,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__finite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isFinite,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__finite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__isInfinite,axiom,
    ( ! [V0a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isInfinite,ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__infinite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0a))) )
    & ! [V1a: tp__ty_2Enum_2Enum] :
        ( p(ap(c_2Emachine__ieee_2Efp64__isInfinite,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))
      <=> p(ap(c_2Ebinary__ieee_2Efloat__is__infinite(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V1a))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__roundToIntegral,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp64__roundToIntegral,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(ap(c_2Ebinary__ieee_2Efloat__round__to__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp64__roundToIntegral,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(ap(c_2Ebinary__ieee_2Efloat__round__to__integral(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V3a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__sqrt__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp64__sqrt__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1a)))) )
    & ! [V2mode: tp__ty_2Ebinary__ieee_2Erounding,V3a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Emachine__ieee_2Efp64__sqrt__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V3a)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(c_2Ebinary__ieee_2Efloat__sqrt(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V2mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V3a)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__add__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__sub__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__mul__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__div__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1b)))) )
    & ! [V3mode: tp__ty_2Ebinary__ieee_2Erounding,V4b: tp__ty_2Enum_2Enum,V5a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V3mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V5a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V4b)))))) )
    & ! [V6mode: tp__ty_2Ebinary__ieee_2Erounding,V7b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V8a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V6mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V8a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7b)))) )
    & ! [V9mode: tp__ty_2Ebinary__ieee_2Erounding,V10b: tp__ty_2Enum_2Enum,V11a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Emachine__ieee_2Efp64__div__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(c_2Ebinary__ieee_2Efloat__div(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V9mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V11a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__mul__add,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c))))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5c))))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c))))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V13c))))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c))))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V21c))))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c))))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V29c))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__mul__sub,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c))))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5c))))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c))))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V13c))))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c))))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V21c))))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c))))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Emachine__ieee_2Efloat__to__fp64,ap(c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V29c))))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__mul__add__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5c)))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V13c)))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V21c)))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__add__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__add(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V29c)))))) ) ) ).

tff(conj_thm_2Emachine__ieee_2Efp64__mul__sub__with__flags,axiom,
    ( ! [V0mode: tp__ty_2Ebinary__ieee_2Erounding,V1c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V2b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V3a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V0mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V3a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V2b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V1c)))) )
    & ! [V4mode: tp__ty_2Ebinary__ieee_2Erounding,V5c: tp__ty_2Enum_2Enum,V6b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V7a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V4mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V4mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V7a)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V6b)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V5c)))))) )
    & ! [V8mode: tp__ty_2Ebinary__ieee_2Erounding,V9c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V10b: tp__ty_2Enum_2Enum,V11a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V8mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V8mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V11a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V10b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V9c)))) )
    & ! [V12mode: tp__ty_2Ebinary__ieee_2Erounding,V13c: tp__ty_2Enum_2Enum,V14b: tp__ty_2Enum_2Enum,V15a: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V12mode)),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V14b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V13c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V12mode)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V15a)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V14b)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V13c)))))) )
    & ! [V16mode: tp__ty_2Ebinary__ieee_2Erounding,V17c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V18b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V19a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V19a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V16mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V19a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V18b)),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V17c)))) )
    & ! [V20mode: tp__ty_2Ebinary__ieee_2Erounding,V21c: tp__ty_2Enum_2Enum,V22b: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V23a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V23a))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V21c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V20mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V23a)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V22b)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V21c)))))) )
    & ! [V24mode: tp__ty_2Ebinary__ieee_2Erounding,V25c: tp__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,V26b: tp__ty_2Enum_2Enum,V27a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V27a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V26b))),ap(c_2Emachine__ieee_2Efloat__to__fp64,inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V24mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V27a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V26b)))),inj__c_ty_2Ebinary__ieee_2Efloat_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V25c)))) )
    & ! [V28mode: tp__ty_2Ebinary__ieee_2Erounding,V29c: tp__ty_2Enum_2Enum,V30b: tp__ty_2Enum_2Enum,V31a: tp__ty_2Enum_2Enum] : ( surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(ap(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V31a))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V30b))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V29c)))) = surj__c_ty_2Epair_2Eprod_ty_2Ebinary__ieee_2Eflags_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Epair_2E_23_23(ty_2Ebinary__ieee_2Eflags,ty_2Ebinary__ieee_2Efloat(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Ecombin_2EI(ty_2Ebinary__ieee_2Eflags)),c_2Emachine__ieee_2Efloat__to__fp64),ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__mul__sub(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Ebinary__ieee_2Erounding(V28mode)),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V31a)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V30b)))),ap(c_2Emachine__ieee_2Efp64__to__float,ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),inj__ty_2Enum_2Enum(V29c)))))) ) ) ).

tff(lamtp_f3147,type,
    f3147: ( del * tp__ty_2Ebinary__ieee_2Erounding * $i ) > $i ).

tff(lameq_f3147,axiom,
    ! [A_27f: del,V3m: tp__ty_2Ebinary__ieee_2Erounding,V2from__real__with__flags: $i] :
      ( mem(V2from__real__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,A_27f)))))
     => ! [V6r: tp__ty_2Erealax_2Ereal] : ( ap(f3147(A_27f,V3m,V2from__real__with__flags),inj__ty_2Erealax_2Ereal(V6r)) = ap(ap(V2from__real__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V3m)),inj__ty_2Erealax_2Ereal(V6r)) ) ) ).

tff(lamtp_f3148,type,
    f3148: ( del * del ) > $i ).

tff(lameq_f3148,axiom,
    ! [A_27d: del,A_27e: del,V7fp: $i] : ( ap(f3148(A_27d,A_27e),V7fp) = ap(c_2Ebinary__ieee_2Efloat__is__nan(A_27d,A_27e),V7fp) ) ).

tff(lamtp_f3149,type,
    f3149: ( del * del * del * del * del * $i * tp__ty_2Ebinary__ieee_2Erounding * $i ) > $i ).

tff(lameq_f3149,axiom,
    ! [A_27e: del,A_27d: del,A_27f: del,A_27b: del,A_27c: del,V2from__real__with__flags: $i] :
      ( mem(V2from__real__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,A_27f)))))
     => ! [V3m: tp__ty_2Ebinary__ieee_2Erounding,V1from__float: $i] :
          ( mem(V1from__float,arr(ty_2Ebinary__ieee_2Efloat(A_27d,A_27e),ty_2Efcp_2Ecart(bool,A_27f)))
         => ! [V5f: $i] : ( ap(f3149(A_27e,A_27d,A_27f,A_27b,A_27c,V2from__real__with__flags,V3m,V1from__float),V5f) = ap(ap(ap(ap(c_2Ebinary__ieee_2Efloat__value__CASE(ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,A_27f))),ap(c_2Ebinary__ieee_2Efloat__value(A_27b,A_27c),V5f)),f3147(A_27f,V3m,V2from__real__with__flags)),ap(ap(c_2Epair_2E_2C(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,A_27f)),inj__ty_2Ebinary__ieee_2Eflags(fo__c_2Ebinary__ieee_2Eclear__flags)),ap(V1from__float,ap(ap(ap(c_2Ebool_2ECOND(ty_2Ebinary__ieee_2Efloat(A_27d,A_27e)),ap(ap(c_2Emin_2E_3D(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),ap(c_2Ebinary__ieee_2Efloat__Sign(A_27b,A_27c),V5f)),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))),ap(c_2Ebinary__ieee_2Efloat__plus__infinity(A_27d,A_27e),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27d,A_27e)))),ap(c_2Ebinary__ieee_2Efloat__minus__infinity(A_27d,A_27e),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(A_27d,A_27e))))))),ap(ap(c_2Epair_2E_2C(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,A_27f)),ap(c_2Ebinary__ieee_2Echeck__for__signalling(A_27b,A_27c),ap(ap(c_2Elist_2ECONS(ty_2Ebinary__ieee_2Efloat(A_27b,A_27c)),V5f),c_2Elist_2ENIL(ty_2Ebinary__ieee_2Efloat(A_27b,A_27c))))),ap(V1from__float,ap(c_2Emin_2E_40(ty_2Ebinary__ieee_2Efloat(A_27d,A_27e)),f3148(A_27d,A_27e))))) ) ) ) ).

tff(ax_thm_2Emachine__ieee_2Econvert__def,axiom,
    ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,V0to__float: $i] :
      ( mem(V0to__float,arr(ty_2Efcp_2Ecart(bool,A_27a),ty_2Ebinary__ieee_2Efloat(A_27b,A_27c)))
     => ! [V1from__float: $i] :
          ( mem(V1from__float,arr(ty_2Ebinary__ieee_2Efloat(A_27d,A_27e),ty_2Efcp_2Ecart(bool,A_27f)))
         => ! [V2from__real__with__flags: $i] :
              ( mem(V2from__real__with__flags,arr(ty_2Ebinary__ieee_2Erounding,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,A_27f)))))
             => ! [V3m: tp__ty_2Ebinary__ieee_2Erounding,V4w: $i] :
                  ( mem(V4w,ty_2Efcp_2Ecart(bool,A_27a))
                 => ( ap(ap(ap(ap(ap(c_2Emachine__ieee_2Econvert(A_27a,A_27b,A_27c,A_27d,A_27e,A_27f),V0to__float),V1from__float),V2from__real__with__flags),inj__ty_2Ebinary__ieee_2Erounding(V3m)),V4w) = ap(ap(c_2Ebool_2ELET(ty_2Ebinary__ieee_2Efloat(A_27b,A_27c),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,A_27f))),f3149(A_27e,A_27d,A_27f,A_27b,A_27c,V2from__real__with__flags,V3m,V1from__float)),ap(V0to__float,V4w)) ) ) ) ) ) ).

tff(ax_thm_2Emachine__ieee_2Efp16__to__fp32__with__flags__def,axiom,
    c_2Emachine__ieee_2Efp16__to__fp32__with__flags = ap(ap(ap(ap(c_2Emachine__ieee_2Econvert(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp16__to__float),c_2Emachine__ieee_2Efloat__to__fp32),c_2Emachine__ieee_2Ereal__to__fp32__with__flags),inj__ty_2Ebinary__ieee_2Erounding(fo__c_2Ebinary__ieee_2EroundTiesToEven)) ).

tff(ax_thm_2Emachine__ieee_2Efp16__to__fp64__with__flags__def,axiom,
    c_2Emachine__ieee_2Efp16__to__fp64__with__flags = ap(ap(ap(ap(c_2Emachine__ieee_2Econvert(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp16__to__float),c_2Emachine__ieee_2Efloat__to__fp64),c_2Emachine__ieee_2Ereal__to__fp64__with__flags),inj__ty_2Ebinary__ieee_2Erounding(fo__c_2Ebinary__ieee_2EroundTiesToEven)) ).

tff(ax_thm_2Emachine__ieee_2Efp32__to__fp64__with__flags__def,axiom,
    c_2Emachine__ieee_2Efp32__to__fp64__with__flags = ap(ap(ap(ap(c_2Emachine__ieee_2Econvert(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp32__to__float),c_2Emachine__ieee_2Efloat__to__fp64),c_2Emachine__ieee_2Ereal__to__fp64__with__flags),inj__ty_2Ebinary__ieee_2Erounding(fo__c_2Ebinary__ieee_2EroundTiesToEven)) ).

tff(ax_thm_2Emachine__ieee_2Efp64__to__fp32__with__flags__def,axiom,
    c_2Emachine__ieee_2Efp64__to__fp32__with__flags = ap(ap(ap(c_2Emachine__ieee_2Econvert(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp64__to__float),c_2Emachine__ieee_2Efloat__to__fp32),c_2Emachine__ieee_2Ereal__to__fp32__with__flags) ).

tff(ax_thm_2Emachine__ieee_2Efp64__to__fp16__with__flags__def,axiom,
    c_2Emachine__ieee_2Efp64__to__fp16__with__flags = ap(ap(ap(c_2Emachine__ieee_2Econvert(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float),c_2Emachine__ieee_2Efloat__to__fp16),c_2Emachine__ieee_2Ereal__to__fp16__with__flags) ).

tff(ax_thm_2Emachine__ieee_2Efp32__to__fp16__with__flags__def,axiom,
    c_2Emachine__ieee_2Efp32__to__fp16__with__flags = ap(ap(ap(c_2Emachine__ieee_2Econvert(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Emachine__ieee_2Efp32__to__float),c_2Emachine__ieee_2Efloat__to__fp16),c_2Emachine__ieee_2Ereal__to__fp16__with__flags) ).

tff(ax_thm_2Emachine__ieee_2Efp16__to__fp32__def,axiom,
    c_2Emachine__ieee_2Efp16__to__fp32 = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Emachine__ieee_2Efp16__to__fp32__with__flags) ).

tff(ax_thm_2Emachine__ieee_2Efp16__to__fp64__def,axiom,
    c_2Emachine__ieee_2Efp16__to__fp64 = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))),c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))),c_2Emachine__ieee_2Efp16__to__fp64__with__flags) ).

tff(ax_thm_2Emachine__ieee_2Efp32__to__fp64__def,axiom,
    c_2Emachine__ieee_2Efp32__to__fp64 = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))),c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))),c_2Emachine__ieee_2Efp32__to__fp64__with__flags) ).

tff(ax_thm_2Emachine__ieee_2Efp64__to__fp32__def,axiom,
    ! [V0m: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp64__to__fp32,inj__ty_2Ebinary__ieee_2Erounding(V0m)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))),ap(c_2Emachine__ieee_2Efp64__to__fp32__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0m))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp64__to__fp16__def,axiom,
    ! [V0m: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp64__to__fp16,inj__ty_2Ebinary__ieee_2Erounding(V0m)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ap(c_2Emachine__ieee_2Efp64__to__fp16__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0m))) ) ).

tff(ax_thm_2Emachine__ieee_2Efp32__to__fp16__def,axiom,
    ! [V0m: tp__ty_2Ebinary__ieee_2Erounding] : ( ap(c_2Emachine__ieee_2Efp32__to__fp16,inj__ty_2Ebinary__ieee_2Erounding(V0m)) = ap(ap(c_2Ecombin_2Eo(ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),ty_2Epair_2Eprod(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),c_2Epair_2ESND(ty_2Ebinary__ieee_2Eflags,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))),ap(c_2Emachine__ieee_2Efp32__to__fp16__with__flags,inj__ty_2Ebinary__ieee_2Erounding(V0m))) ) ).

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