ITP001 Axioms: ITP141^7.ax
%------------------------------------------------------------------------------
% File : ITP141^7 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain : Interactive Theorem Proving
% Axioms : HOL4 syntactic export, chainy mode
% Version : [BG+19] axioms.
% English :
% Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source : [BG+19]
% Names : machine_ieee.ax [Gau19]
% : HL4141^7.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 535 ( 174 unt; 251 typ; 0 def)
% Number of atoms : 846 ( 542 equ; 1 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 27596 ( 1 ~; 1 |; 259 &;27321 @)
% ( 13 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg;27321 nst)
% Number of types : 10 ( 9 usr)
% Number of type conns : 423 ( 423 >; 0 *; 0 +; 0 <<)
% Number of symbols : 244 ( 242 usr; 29 con; 0-11 aty)
% Number of variables : 1331 ( 15 ^1178 !; 7 ?;1331 :)
% ( 131 !>; 0 ?*; 0 @-; 0 @+)
% SPC : TH1_SAT_EQU_NAR
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
thf(tyop_2Ebinary__ieee_2Eflags,type,
tyop_2Ebinary__ieee_2Eflags: $tType ).
thf(tyop_2Ebinary__ieee_2Efloat,type,
tyop_2Ebinary__ieee_2Efloat: $tType > $tType > $tType ).
thf(tyop_2Ebinary__ieee_2Efloat__compare,type,
tyop_2Ebinary__ieee_2Efloat__compare: $tType ).
thf(tyop_2Ebinary__ieee_2Efloat__value,type,
tyop_2Ebinary__ieee_2Efloat__value: $tType ).
thf(tyop_2Ebinary__ieee_2Erounding,type,
tyop_2Ebinary__ieee_2Erounding: $tType ).
thf(tyop_2Ebool_2Eitself,type,
tyop_2Ebool_2Eitself: $tType > $tType ).
thf(tyop_2Efcp_2Ebit0,type,
tyop_2Efcp_2Ebit0: $tType > $tType ).
thf(tyop_2Efcp_2Ebit1,type,
tyop_2Efcp_2Ebit1: $tType > $tType ).
thf(tyop_2Efcp_2Ecart,type,
tyop_2Efcp_2Ecart: $tType > $tType > $tType ).
thf(tyop_2Einteger_2Eint,type,
tyop_2Einteger_2Eint: $tType ).
thf(tyop_2Elist_2Elist,type,
tyop_2Elist_2Elist: $tType > $tType ).
thf(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: $tType ).
thf(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: $tType > $tType > $tType ).
thf(tyop_2Enum_2Enum,type,
tyop_2Enum_2Enum: $tType ).
thf(tyop_2Eone_2Eone,type,
tyop_2Eone_2Eone: $tType ).
thf(tyop_2Eoption_2Eoption,type,
tyop_2Eoption_2Eoption: $tType > $tType ).
thf(tyop_2Epair_2Eprod,type,
tyop_2Epair_2Eprod: $tType > $tType > $tType ).
thf(tyop_2Erealax_2Ereal,type,
tyop_2Erealax_2Ereal: $tType ).
thf(c_2Ebool_2E_21,type,
c_2Ebool_2E_21:
!>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
thf(c_2Epair_2E_23_23,type,
c_2Epair_2E_23_23:
!>[A_27a: $tType,A_27b: $tType,A_27c: $tType,A_27d: $tType] : ( ( A_27a > A_27c ) > ( A_27b > A_27d ) > ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) > ( tyop_2Epair_2Eprod @ A_27c @ A_27d ) ) ).
thf(c_2Epair_2E_2C,type,
c_2Epair_2E_2C:
!>[A_27a: $tType,A_27b: $tType] : ( A_27a > A_27b > ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) ).
thf(c_2Ebool_2E_2F_5C,type,
c_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(c_2Enum_2E0,type,
c_2Enum_2E0: tyop_2Enum_2Enum ).
thf(c_2Emin_2E_3D,type,
c_2Emin_2E_3D:
!>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
thf(c_2Emin_2E_3D_3D_3E,type,
c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(c_2Ebool_2E_3F,type,
c_2Ebool_2E_3F:
!>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
thf(c_2Emin_2E_40,type,
c_2Emin_2E_40:
!>[A_27a: $tType] : ( ( A_27a > $o ) > A_27a ) ).
thf(c_2Ebool_2EARB,type,
c_2Ebool_2EARB:
!>[A_27a: $tType] : A_27a ).
thf(c_2Earithmetic_2EBIT1,type,
c_2Earithmetic_2EBIT1: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Earithmetic_2EBIT2,type,
c_2Earithmetic_2EBIT2: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Ebool_2ECOND,type,
c_2Ebool_2ECOND:
!>[A_27a: $tType] : ( $o > A_27a > A_27a > A_27a ) ).
thf(c_2Elist_2ECONS,type,
c_2Elist_2ECONS:
!>[A_27a: $tType] : ( A_27a > ( tyop_2Elist_2Elist @ A_27a ) > ( tyop_2Elist_2Elist @ A_27a ) ) ).
thf(c_2Ebit_2EDIVMOD__2EXP,type,
c_2Ebit_2EDIVMOD__2EXP: tyop_2Enum_2Enum > tyop_2Enum_2Enum > ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ).
thf(c_2Ecombin_2EI,type,
c_2Ecombin_2EI:
!>[A_27a: $tType] : ( A_27a > A_27a ) ).
thf(c_2Ecombin_2EK,type,
c_2Ecombin_2EK:
!>[A_27a: $tType,A_27b: $tType] : ( A_27a > A_27b > A_27a ) ).
thf(c_2Ebool_2ELET,type,
c_2Ebool_2ELET:
!>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27b ) > A_27a > A_27b ) ).
thf(c_2Earithmetic_2EMOD,type,
c_2Earithmetic_2EMOD: tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Elist_2ENIL,type,
c_2Elist_2ENIL:
!>[A_27a: $tType] : ( tyop_2Elist_2Elist @ A_27a ) ).
thf(c_2Earithmetic_2ENUMERAL,type,
c_2Earithmetic_2ENUMERAL: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Epair_2ESND,type,
c_2Epair_2ESND:
!>[A_27a: $tType,A_27b: $tType] : ( ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) > A_27b ) ).
thf(c_2Epair_2EUNCURRY,type,
c_2Epair_2EUNCURRY:
!>[A_27a: $tType,A_27b: $tType,A_27c: $tType] : ( ( A_27a > A_27b > A_27c ) > ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) > A_27c ) ).
thf(c_2Earithmetic_2EZERO,type,
c_2Earithmetic_2EZERO: tyop_2Enum_2Enum ).
thf(c_2Ebool_2E_5C_2F,type,
c_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(c_2Ebinary__ieee_2Echeck__for__signalling,type,
c_2Ebinary__ieee_2Echeck__for__signalling:
!>[A_27a: $tType,A_27b: $tType] : ( ( tyop_2Elist_2Elist @ ( tyop_2Ebinary__ieee_2Efloat @ A_27a @ A_27b ) ) > tyop_2Ebinary__ieee_2Eflags ) ).
thf(c_2Ebinary__ieee_2Eclear__flags,type,
c_2Ebinary__ieee_2Eclear__flags: tyop_2Ebinary__ieee_2Eflags ).
thf(c_2Emachine__ieee_2Econvert,type,
c_2Emachine__ieee_2Econvert:
!>[A_27a: $tType,A_27b: $tType,A_27c: $tType,A_27d: $tType,A_27e: $tType,A_27f: $tType] : ( ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27b @ A_27c ) ) > ( ( tyop_2Ebinary__ieee_2Efloat @ A_27d @ A_27e ) > ( tyop_2Efcp_2Ecart @ $o @ A_27f ) ) > ( tyop_2Ebinary__ieee_2Erounding > tyop_2Erealax_2Ereal > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ A_27f ) ) ) > tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ A_27f ) ) ) ).
thf(c_2Ebinary__ieee_2Efloat__Exponent,type,
c_2Ebinary__ieee_2Efloat__Exponent:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Efcp_2Ecart @ $o @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__Exponent__fupd,type,
c_2Ebinary__ieee_2Efloat__Exponent__fupd:
!>[A_27t: $tType,A_27w: $tType,A_27x: $tType] : ( ( ( tyop_2Efcp_2Ecart @ $o @ A_27w ) > ( tyop_2Efcp_2Ecart @ $o @ A_27x ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27x ) ) ).
thf(c_2Ebinary__ieee_2Efloat__Sign,type,
c_2Ebinary__ieee_2Efloat__Sign:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) ) ).
thf(c_2Ebinary__ieee_2Efloat__Sign__fupd,type,
c_2Ebinary__ieee_2Efloat__Sign__fupd:
!>[A_27t: $tType,A_27w: $tType] : ( ( ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) > ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__Significand,type,
c_2Ebinary__ieee_2Efloat__Significand:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Efcp_2Ecart @ $o @ A_27t ) ) ).
thf(c_2Ebinary__ieee_2Efloat__Significand__fupd,type,
c_2Ebinary__ieee_2Efloat__Significand__fupd:
!>[A_27t: $tType,A_27u: $tType,A_27w: $tType] : ( ( ( tyop_2Efcp_2Ecart @ $o @ A_27t ) > ( tyop_2Efcp_2Ecart @ $o @ A_27u ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27u @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__abs,type,
c_2Ebinary__ieee_2Efloat__abs:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__add,type,
c_2Ebinary__ieee_2Efloat__add:
!>[A_27t: $tType,A_27w: $tType] : ( tyop_2Ebinary__ieee_2Erounding > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ) ).
thf(c_2Ebinary__ieee_2Efloat__bottom,type,
c_2Ebinary__ieee_2Efloat__bottom:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__compare,type,
c_2Ebinary__ieee_2Efloat__compare:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > tyop_2Ebinary__ieee_2Efloat__compare ) ).
thf(c_2Ebinary__ieee_2Efloat__div,type,
c_2Ebinary__ieee_2Efloat__div:
!>[A_27t: $tType,A_27w: $tType] : ( tyop_2Ebinary__ieee_2Erounding > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ) ).
thf(c_2Ebinary__ieee_2Efloat__equal,type,
c_2Ebinary__ieee_2Efloat__equal:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__greater__equal,type,
c_2Ebinary__ieee_2Efloat__greater__equal:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__greater__than,type,
c_2Ebinary__ieee_2Efloat__greater__than:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__is__finite,type,
c_2Ebinary__ieee_2Efloat__is__finite:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__is__infinite,type,
c_2Ebinary__ieee_2Efloat__is__infinite:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__is__integral,type,
c_2Ebinary__ieee_2Efloat__is__integral:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__is__nan,type,
c_2Ebinary__ieee_2Efloat__is__nan:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__is__normal,type,
c_2Ebinary__ieee_2Efloat__is__normal:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__is__signalling,type,
c_2Ebinary__ieee_2Efloat__is__signalling:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__is__subnormal,type,
c_2Ebinary__ieee_2Efloat__is__subnormal:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__is__zero,type,
c_2Ebinary__ieee_2Efloat__is__zero:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__less__equal,type,
c_2Ebinary__ieee_2Efloat__less__equal:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__less__than,type,
c_2Ebinary__ieee_2Efloat__less__than:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > $o ) ).
thf(c_2Ebinary__ieee_2Efloat__minus__infinity,type,
c_2Ebinary__ieee_2Efloat__minus__infinity:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__minus__min,type,
c_2Ebinary__ieee_2Efloat__minus__min:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__minus__zero,type,
c_2Ebinary__ieee_2Efloat__minus__zero:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__mul,type,
c_2Ebinary__ieee_2Efloat__mul:
!>[A_27t: $tType,A_27w: $tType] : ( tyop_2Ebinary__ieee_2Erounding > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ) ).
thf(c_2Ebinary__ieee_2Efloat__mul__add,type,
c_2Ebinary__ieee_2Efloat__mul__add:
!>[A_27t: $tType,A_27w: $tType] : ( tyop_2Ebinary__ieee_2Erounding > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ) ).
thf(c_2Ebinary__ieee_2Efloat__mul__sub,type,
c_2Ebinary__ieee_2Efloat__mul__sub:
!>[A_27t: $tType,A_27w: $tType] : ( tyop_2Ebinary__ieee_2Erounding > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ) ).
thf(c_2Ebinary__ieee_2Efloat__negate,type,
c_2Ebinary__ieee_2Efloat__negate:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__plus__infinity,type,
c_2Ebinary__ieee_2Efloat__plus__infinity:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__plus__min,type,
c_2Ebinary__ieee_2Efloat__plus__min:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__plus__zero,type,
c_2Ebinary__ieee_2Efloat__plus__zero:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__round__to__integral,type,
c_2Ebinary__ieee_2Efloat__round__to__integral:
!>[A_27t: $tType,A_27w: $tType] : ( tyop_2Ebinary__ieee_2Erounding > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__sqrt,type,
c_2Ebinary__ieee_2Efloat__sqrt:
!>[A_27t: $tType,A_27w: $tType] : ( tyop_2Ebinary__ieee_2Erounding > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ) ).
thf(c_2Ebinary__ieee_2Efloat__sub,type,
c_2Ebinary__ieee_2Efloat__sub:
!>[A_27t: $tType,A_27w: $tType] : ( tyop_2Ebinary__ieee_2Erounding > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ) ).
thf(c_2Emachine__ieee_2Efloat__to__fp16,type,
c_2Emachine__ieee_2Efloat__to__fp16: ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efloat__to__fp32,type,
c_2Emachine__ieee_2Efloat__to__fp32: ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efloat__to__fp64,type,
c_2Emachine__ieee_2Efloat__to__fp64: ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Ebinary__ieee_2Efloat__to__int,type,
c_2Ebinary__ieee_2Efloat__to__int:
!>[A_27t: $tType,A_27w: $tType] : ( tyop_2Ebinary__ieee_2Erounding > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > ( tyop_2Eoption_2Eoption @ tyop_2Einteger_2Eint ) ) ).
thf(c_2Ebinary__ieee_2Efloat__to__real,type,
c_2Ebinary__ieee_2Efloat__to__real:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > tyop_2Erealax_2Ereal ) ).
thf(c_2Ebinary__ieee_2Efloat__top,type,
c_2Ebinary__ieee_2Efloat__top:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ).
thf(c_2Ebinary__ieee_2Efloat__value,type,
c_2Ebinary__ieee_2Efloat__value:
!>[A_27t: $tType,A_27w: $tType] : ( ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) > tyop_2Ebinary__ieee_2Efloat__value ) ).
thf(c_2Ebinary__ieee_2Efloat__value__CASE,type,
c_2Ebinary__ieee_2Efloat__value__CASE:
!>[A_27a: $tType] : ( tyop_2Ebinary__ieee_2Efloat__value > ( tyop_2Erealax_2Ereal > A_27a ) > A_27a > A_27a > A_27a ) ).
thf(c_2Emachine__ieee_2Efp16__abs,type,
c_2Emachine__ieee_2Efp16__abs: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__add,type,
c_2Emachine__ieee_2Efp16__add: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__add__with__flags,type,
c_2Emachine__ieee_2Efp16__add__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__bottom,type,
c_2Emachine__ieee_2Efp16__bottom: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__compare,type,
c_2Emachine__ieee_2Efp16__compare: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > tyop_2Ebinary__ieee_2Efloat__compare ).
thf(c_2Emachine__ieee_2Efp16__div,type,
c_2Emachine__ieee_2Efp16__div: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__div__with__flags,type,
c_2Emachine__ieee_2Efp16__div__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__equal,type,
c_2Emachine__ieee_2Efp16__equal: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__greaterEqual,type,
c_2Emachine__ieee_2Efp16__greaterEqual: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__greaterThan,type,
c_2Emachine__ieee_2Efp16__greaterThan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__isFinite,type,
c_2Emachine__ieee_2Efp16__isFinite: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__isInfinite,type,
c_2Emachine__ieee_2Efp16__isInfinite: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__isIntegral,type,
c_2Emachine__ieee_2Efp16__isIntegral: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__isNan,type,
c_2Emachine__ieee_2Efp16__isNan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__isNormal,type,
c_2Emachine__ieee_2Efp16__isNormal: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__isSignallingNan,type,
c_2Emachine__ieee_2Efp16__isSignallingNan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__isSubnormal,type,
c_2Emachine__ieee_2Efp16__isSubnormal: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__isZero,type,
c_2Emachine__ieee_2Efp16__isZero: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__lessEqual,type,
c_2Emachine__ieee_2Efp16__lessEqual: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__lessThan,type,
c_2Emachine__ieee_2Efp16__lessThan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp16__mul,type,
c_2Emachine__ieee_2Efp16__mul: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__mul__add,type,
c_2Emachine__ieee_2Efp16__mul__add: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__mul__add__with__flags,type,
c_2Emachine__ieee_2Efp16__mul__add__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__mul__sub,type,
c_2Emachine__ieee_2Efp16__mul__sub: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__mul__sub__with__flags,type,
c_2Emachine__ieee_2Efp16__mul__sub__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__mul__with__flags,type,
c_2Emachine__ieee_2Efp16__mul__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__negInf,type,
c_2Emachine__ieee_2Efp16__negInf: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__negMin,type,
c_2Emachine__ieee_2Efp16__negMin: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__negZero,type,
c_2Emachine__ieee_2Efp16__negZero: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__negate,type,
c_2Emachine__ieee_2Efp16__negate: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__posInf,type,
c_2Emachine__ieee_2Efp16__posInf: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__posMin,type,
c_2Emachine__ieee_2Efp16__posMin: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__posZero,type,
c_2Emachine__ieee_2Efp16__posZero: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__roundToIntegral,type,
c_2Emachine__ieee_2Efp16__roundToIntegral: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__sqrt,type,
c_2Emachine__ieee_2Efp16__sqrt: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__sqrt__with__flags,type,
c_2Emachine__ieee_2Efp16__sqrt__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__sub,type,
c_2Emachine__ieee_2Efp16__sub: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__sub__with__flags,type,
c_2Emachine__ieee_2Efp16__sub__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__to__float,type,
c_2Emachine__ieee_2Efp16__to__float: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__to__fp32,type,
c_2Emachine__ieee_2Efp16__to__fp32: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__to__fp32__with__flags,type,
c_2Emachine__ieee_2Efp16__to__fp32__with__flags: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__to__fp64,type,
c_2Emachine__ieee_2Efp16__to__fp64: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__to__fp64__with__flags,type,
c_2Emachine__ieee_2Efp16__to__fp64__with__flags: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp16__to__int,type,
c_2Emachine__ieee_2Efp16__to__int: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > ( tyop_2Eoption_2Eoption @ tyop_2Einteger_2Eint ) ).
thf(c_2Emachine__ieee_2Efp16__to__real,type,
c_2Emachine__ieee_2Efp16__to__real: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > tyop_2Erealax_2Ereal ).
thf(c_2Emachine__ieee_2Efp16__to__value,type,
c_2Emachine__ieee_2Efp16__to__value: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) > tyop_2Ebinary__ieee_2Efloat__value ).
thf(c_2Emachine__ieee_2Efp16__top,type,
c_2Emachine__ieee_2Efp16__top: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__abs,type,
c_2Emachine__ieee_2Efp32__abs: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__add,type,
c_2Emachine__ieee_2Efp32__add: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__add__with__flags,type,
c_2Emachine__ieee_2Efp32__add__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__bottom,type,
c_2Emachine__ieee_2Efp32__bottom: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__compare,type,
c_2Emachine__ieee_2Efp32__compare: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > tyop_2Ebinary__ieee_2Efloat__compare ).
thf(c_2Emachine__ieee_2Efp32__div,type,
c_2Emachine__ieee_2Efp32__div: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__div__with__flags,type,
c_2Emachine__ieee_2Efp32__div__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__equal,type,
c_2Emachine__ieee_2Efp32__equal: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__greaterEqual,type,
c_2Emachine__ieee_2Efp32__greaterEqual: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__greaterThan,type,
c_2Emachine__ieee_2Efp32__greaterThan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__isFinite,type,
c_2Emachine__ieee_2Efp32__isFinite: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__isInfinite,type,
c_2Emachine__ieee_2Efp32__isInfinite: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__isIntegral,type,
c_2Emachine__ieee_2Efp32__isIntegral: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__isNan,type,
c_2Emachine__ieee_2Efp32__isNan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__isNormal,type,
c_2Emachine__ieee_2Efp32__isNormal: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__isSignallingNan,type,
c_2Emachine__ieee_2Efp32__isSignallingNan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__isSubnormal,type,
c_2Emachine__ieee_2Efp32__isSubnormal: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__isZero,type,
c_2Emachine__ieee_2Efp32__isZero: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__lessEqual,type,
c_2Emachine__ieee_2Efp32__lessEqual: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__lessThan,type,
c_2Emachine__ieee_2Efp32__lessThan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp32__mul,type,
c_2Emachine__ieee_2Efp32__mul: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__mul__add,type,
c_2Emachine__ieee_2Efp32__mul__add: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__mul__add__with__flags,type,
c_2Emachine__ieee_2Efp32__mul__add__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__mul__sub,type,
c_2Emachine__ieee_2Efp32__mul__sub: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__mul__sub__with__flags,type,
c_2Emachine__ieee_2Efp32__mul__sub__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__mul__with__flags,type,
c_2Emachine__ieee_2Efp32__mul__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__negInf,type,
c_2Emachine__ieee_2Efp32__negInf: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__negMin,type,
c_2Emachine__ieee_2Efp32__negMin: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__negZero,type,
c_2Emachine__ieee_2Efp32__negZero: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__negate,type,
c_2Emachine__ieee_2Efp32__negate: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__posInf,type,
c_2Emachine__ieee_2Efp32__posInf: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__posMin,type,
c_2Emachine__ieee_2Efp32__posMin: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__posZero,type,
c_2Emachine__ieee_2Efp32__posZero: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__roundToIntegral,type,
c_2Emachine__ieee_2Efp32__roundToIntegral: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__sqrt,type,
c_2Emachine__ieee_2Efp32__sqrt: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__sqrt__with__flags,type,
c_2Emachine__ieee_2Efp32__sqrt__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__sub,type,
c_2Emachine__ieee_2Efp32__sub: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__sub__with__flags,type,
c_2Emachine__ieee_2Efp32__sub__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__to__float,type,
c_2Emachine__ieee_2Efp32__to__float: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__to__fp16,type,
c_2Emachine__ieee_2Efp32__to__fp16: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__to__fp16__with__flags,type,
c_2Emachine__ieee_2Efp32__to__fp16__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__to__fp64,type,
c_2Emachine__ieee_2Efp32__to__fp64: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__to__fp64__with__flags,type,
c_2Emachine__ieee_2Efp32__to__fp64__with__flags: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp32__to__int,type,
c_2Emachine__ieee_2Efp32__to__int: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > ( tyop_2Eoption_2Eoption @ tyop_2Einteger_2Eint ) ).
thf(c_2Emachine__ieee_2Efp32__to__real,type,
c_2Emachine__ieee_2Efp32__to__real: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > tyop_2Erealax_2Ereal ).
thf(c_2Emachine__ieee_2Efp32__to__value,type,
c_2Emachine__ieee_2Efp32__to__value: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) > tyop_2Ebinary__ieee_2Efloat__value ).
thf(c_2Emachine__ieee_2Efp32__top,type,
c_2Emachine__ieee_2Efp32__top: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__abs,type,
c_2Emachine__ieee_2Efp64__abs: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__add,type,
c_2Emachine__ieee_2Efp64__add: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__add__with__flags,type,
c_2Emachine__ieee_2Efp64__add__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__bottom,type,
c_2Emachine__ieee_2Efp64__bottom: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__compare,type,
c_2Emachine__ieee_2Efp64__compare: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > tyop_2Ebinary__ieee_2Efloat__compare ).
thf(c_2Emachine__ieee_2Efp64__div,type,
c_2Emachine__ieee_2Efp64__div: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__div__with__flags,type,
c_2Emachine__ieee_2Efp64__div__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__equal,type,
c_2Emachine__ieee_2Efp64__equal: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__greaterEqual,type,
c_2Emachine__ieee_2Efp64__greaterEqual: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__greaterThan,type,
c_2Emachine__ieee_2Efp64__greaterThan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__isFinite,type,
c_2Emachine__ieee_2Efp64__isFinite: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__isInfinite,type,
c_2Emachine__ieee_2Efp64__isInfinite: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__isIntegral,type,
c_2Emachine__ieee_2Efp64__isIntegral: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__isNan,type,
c_2Emachine__ieee_2Efp64__isNan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__isNormal,type,
c_2Emachine__ieee_2Efp64__isNormal: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__isSignallingNan,type,
c_2Emachine__ieee_2Efp64__isSignallingNan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__isSubnormal,type,
c_2Emachine__ieee_2Efp64__isSubnormal: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__isZero,type,
c_2Emachine__ieee_2Efp64__isZero: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__lessEqual,type,
c_2Emachine__ieee_2Efp64__lessEqual: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__lessThan,type,
c_2Emachine__ieee_2Efp64__lessThan: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > $o ).
thf(c_2Emachine__ieee_2Efp64__mul,type,
c_2Emachine__ieee_2Efp64__mul: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__mul__add,type,
c_2Emachine__ieee_2Efp64__mul__add: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__mul__add__with__flags,type,
c_2Emachine__ieee_2Efp64__mul__add__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__mul__sub,type,
c_2Emachine__ieee_2Efp64__mul__sub: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__mul__sub__with__flags,type,
c_2Emachine__ieee_2Efp64__mul__sub__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__mul__with__flags,type,
c_2Emachine__ieee_2Efp64__mul__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__negInf,type,
c_2Emachine__ieee_2Efp64__negInf: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__negMin,type,
c_2Emachine__ieee_2Efp64__negMin: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__negZero,type,
c_2Emachine__ieee_2Efp64__negZero: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__negate,type,
c_2Emachine__ieee_2Efp64__negate: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__posInf,type,
c_2Emachine__ieee_2Efp64__posInf: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__posMin,type,
c_2Emachine__ieee_2Efp64__posMin: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__posZero,type,
c_2Emachine__ieee_2Efp64__posZero: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__roundToIntegral,type,
c_2Emachine__ieee_2Efp64__roundToIntegral: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__sqrt,type,
c_2Emachine__ieee_2Efp64__sqrt: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__sqrt__with__flags,type,
c_2Emachine__ieee_2Efp64__sqrt__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__sub,type,
c_2Emachine__ieee_2Efp64__sub: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__sub__with__flags,type,
c_2Emachine__ieee_2Efp64__sub__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__to__float,type,
c_2Emachine__ieee_2Efp64__to__float: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__to__fp16,type,
c_2Emachine__ieee_2Efp64__to__fp16: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__to__fp16__with__flags,type,
c_2Emachine__ieee_2Efp64__to__fp16__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__to__fp32,type,
c_2Emachine__ieee_2Efp64__to__fp32: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__to__fp32__with__flags,type,
c_2Emachine__ieee_2Efp64__to__fp32__with__flags: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Efp64__to__int,type,
c_2Emachine__ieee_2Efp64__to__int: tyop_2Ebinary__ieee_2Erounding > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > ( tyop_2Eoption_2Eoption @ tyop_2Einteger_2Eint ) ).
thf(c_2Emachine__ieee_2Efp64__to__real,type,
c_2Emachine__ieee_2Efp64__to__real: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > tyop_2Erealax_2Ereal ).
thf(c_2Emachine__ieee_2Efp64__to__value,type,
c_2Emachine__ieee_2Efp64__to__value: ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) > tyop_2Ebinary__ieee_2Efloat__value ).
thf(c_2Emachine__ieee_2Efp64__top,type,
c_2Emachine__ieee_2Efp64__top: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Eint__to__fp16,type,
c_2Emachine__ieee_2Eint__to__fp16: tyop_2Ebinary__ieee_2Erounding > tyop_2Einteger_2Eint > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Eint__to__fp32,type,
c_2Emachine__ieee_2Eint__to__fp32: tyop_2Ebinary__ieee_2Erounding > tyop_2Einteger_2Eint > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Eint__to__fp64,type,
c_2Emachine__ieee_2Eint__to__fp64: tyop_2Ebinary__ieee_2Erounding > tyop_2Einteger_2Eint > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Ewords_2En2w,type,
c_2Ewords_2En2w:
!>[A_27a: $tType] : ( tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ecombin_2Eo,type,
c_2Ecombin_2Eo:
!>[A_27a: $tType,A_27b: $tType,A_27c: $tType] : ( ( A_27c > A_27b ) > ( A_27a > A_27c ) > A_27a > A_27b ) ).
thf(c_2Eintreal_2Ereal__of__int,type,
c_2Eintreal_2Ereal__of__int: tyop_2Einteger_2Eint > tyop_2Erealax_2Ereal ).
thf(c_2Ebinary__ieee_2Ereal__to__float,type,
c_2Ebinary__ieee_2Ereal__to__float:
!>[A_27a: $tType,A_27b: $tType] : ( tyop_2Ebinary__ieee_2Erounding > tyop_2Erealax_2Ereal > ( tyop_2Ebinary__ieee_2Efloat @ A_27a @ A_27b ) ) ).
thf(c_2Ebinary__ieee_2Ereal__to__float__with__flags,type,
c_2Ebinary__ieee_2Ereal__to__float__with__flags:
!>[A_27a: $tType,A_27b: $tType] : ( tyop_2Ebinary__ieee_2Erounding > tyop_2Erealax_2Ereal > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ A_27a @ A_27b ) ) ) ).
thf(c_2Emachine__ieee_2Ereal__to__fp16,type,
c_2Emachine__ieee_2Ereal__to__fp16: tyop_2Ebinary__ieee_2Erounding > tyop_2Erealax_2Ereal > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Ereal__to__fp16__with__flags,type,
c_2Emachine__ieee_2Ereal__to__fp16__with__flags: tyop_2Ebinary__ieee_2Erounding > tyop_2Erealax_2Ereal > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Ereal__to__fp32,type,
c_2Emachine__ieee_2Ereal__to__fp32: tyop_2Ebinary__ieee_2Erounding > tyop_2Erealax_2Ereal > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Ereal__to__fp32__with__flags,type,
c_2Emachine__ieee_2Ereal__to__fp32__with__flags: tyop_2Ebinary__ieee_2Erounding > tyop_2Erealax_2Ereal > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Ereal__to__fp64,type,
c_2Emachine__ieee_2Ereal__to__fp64: tyop_2Ebinary__ieee_2Erounding > tyop_2Erealax_2Ereal > ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(c_2Emachine__ieee_2Ereal__to__fp64__with__flags,type,
c_2Emachine__ieee_2Ereal__to__fp64__with__flags: tyop_2Ebinary__ieee_2Erounding > tyop_2Erealax_2Ereal > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(c_2Ebinary__ieee_2EroundTiesToEven,type,
c_2Ebinary__ieee_2EroundTiesToEven: tyop_2Ebinary__ieee_2Erounding ).
thf(c_2Ebool_2Ethe__value,type,
c_2Ebool_2Ethe__value:
!>[A_27a: $tType] : ( tyop_2Ebool_2Eitself @ A_27a ) ).
thf(c_2Ewords_2Eword__concat,type,
c_2Ewords_2Eword__concat:
!>[A_27a: $tType,A_27b: $tType,A_27c: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27b ) > ( tyop_2Efcp_2Ecart @ $o @ A_27c ) ) ).
thf(c_2Ewords_2Eword__extract,type,
c_2Ewords_2Eword__extract:
!>[A_27a: $tType,A_27b: $tType] : ( tyop_2Enum_2Enum > tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27b ) ) ).
thf(c_2Ebool_2E_7E,type,
c_2Ebool_2E_7E: $o > $o ).
thf(logicdef_2E_2F_5C,axiom,
! [V0: $o,V1: $o] :
( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
<=> ( V0
& V1 ) ) ).
thf(logicdef_2E_5C_2F,axiom,
! [V0: $o,V1: $o] :
( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
<=> ( V0
| V1 ) ) ).
thf(logicdef_2E_7E,axiom,
! [V0: $o] :
( ( c_2Ebool_2E_7E @ V0 )
<=> ( (~) @ V0 ) ) ).
thf(logicdef_2E_3D_3D_3E,axiom,
! [V0: $o,V1: $o] :
( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
<=> ( V0
=> V1 ) ) ).
thf(logicdef_2E_3D,axiom,
! [A_27a: $tType,V0: A_27a,V1: A_27a] :
( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
<=> ( V0 = V1 ) ) ).
thf(quantdef_2E_21,axiom,
! [A_27a: $tType,V0f: A_27a > $o] :
( ( c_2Ebool_2E_21 @ A_27a @ V0f )
<=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
thf(quantdef_2E_3F,axiom,
! [A_27a: $tType,V0f: A_27a > $o] :
( ( c_2Ebool_2E_3F @ A_27a @ V0f )
<=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__float__def,axiom,
! [V0w: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__to__float @ V0w )
= ( c_2Ebinary__ieee_2Efloat__Sign__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( c_2Ewords_2Eword__extract @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Eone_2Eone @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ V0w ) ) @ ( c_2Ebinary__ieee_2Efloat__Exponent__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ewords_2Eword__extract @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) @ V0w ) ) @ ( c_2Ebinary__ieee_2Efloat__Significand__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ewords_2Eword__extract @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) @ c_2Enum_2E0 @ V0w ) ) @ ( c_2Ebool_2EARB @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efloat__to__fp16__def,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0x )
= ( c_2Ewords_2Eword__concat @ tyop_2Eone_2Eone @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__Sign @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0x ) @ ( c_2Ewords_2Eword__concat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__Exponent @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0x ) @ ( c_2Ebinary__ieee_2Efloat__Significand @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0x ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__real__def,axiom,
( c_2Emachine__ieee_2Efp16__to__real
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ tyop_2Erealax_2Ereal @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__to__real @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__value__def,axiom,
( c_2Emachine__ieee_2Efp16__to__value
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ tyop_2Ebinary__ieee_2Efloat__value @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__value @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Ereal__to__fp16__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Ereal__to__fp16 @ V0mode )
= ( c_2Ecombin_2Eo @ tyop_2Erealax_2Ereal @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Ereal__to__float @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode ) ) ) ).
thf(thm_2Emachine__ieee_2Ereal__to__fp16__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Ereal__to__fp16__with__flags @ V0mode )
= ( c_2Ecombin_2Eo @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 ) @ ( c_2Ebinary__ieee_2Ereal__to__float__with__flags @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode ) ) ) ).
thf(thm_2Emachine__ieee_2Eint__to__fp16__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Einteger_2Eint] :
( ( c_2Emachine__ieee_2Eint__to__fp16 @ V0mode @ V1a )
= ( c_2Emachine__ieee_2Ereal__to__fp16 @ V0mode @ ( c_2Eintreal_2Ereal__of__int @ V1a ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__roundToIntegral__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp16__roundToIntegral @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__round__to__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__int__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp16__to__int @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Eoption_2Eoption @ tyop_2Einteger_2Eint ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__to__int @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp16__sqrt__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp16__sqrt @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__sqrt__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp16__sqrt__with__flags @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 ) @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__negate__def,axiom,
( c_2Emachine__ieee_2Efp16__negate
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__negate @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__abs__def,axiom,
( c_2Emachine__ieee_2Efp16__abs
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__abs @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isNan__def,axiom,
( c_2Emachine__ieee_2Efp16__isNan
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__nan @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isSignallingNan__def,axiom,
( c_2Emachine__ieee_2Efp16__isSignallingNan
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__signalling @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isIntegral__def,axiom,
( c_2Emachine__ieee_2Efp16__isIntegral
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isZero__def,axiom,
( c_2Emachine__ieee_2Efp16__isZero
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__zero @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isNormal__def,axiom,
( c_2Emachine__ieee_2Efp16__isNormal
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__normal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isSubnormal__def,axiom,
( c_2Emachine__ieee_2Efp16__isSubnormal
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__subnormal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isFinite__def,axiom,
( c_2Emachine__ieee_2Efp16__isFinite
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__finite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isInfinite__def,axiom,
( c_2Emachine__ieee_2Efp16__isInfinite
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__infinite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ c_2Emachine__ieee_2Efp16__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp16__posInf__def,axiom,
( c_2Emachine__ieee_2Efp16__posInf
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__plus__infinity @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__negInf__def,axiom,
( c_2Emachine__ieee_2Efp16__negInf
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__minus__infinity @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__posZero__def,axiom,
( c_2Emachine__ieee_2Efp16__posZero
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__plus__zero @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__negZero__def,axiom,
( c_2Emachine__ieee_2Efp16__negZero
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__minus__zero @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__posMin__def,axiom,
( c_2Emachine__ieee_2Efp16__posMin
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__plus__min @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__negMin__def,axiom,
( c_2Emachine__ieee_2Efp16__negMin
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__minus__min @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__top__def,axiom,
( c_2Emachine__ieee_2Efp16__top
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__top @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__bottom__def,axiom,
( c_2Emachine__ieee_2Efp16__bottom
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__bottom @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__add__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__add @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__sub__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__sub @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__mul @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__div__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__div @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__add__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__add__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__sub__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__sub__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__div__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__div__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__compare__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__compare @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__equal__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__equal @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__lessThan__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__lessThan @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__lessEqual__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__lessEqual @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__greaterThan__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__greaterThan @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__greaterEqual__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__greaterEqual @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__add__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__add @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V3c ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__sub__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__sub @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V3c ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__add__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__add__with__flags @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V3c ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__sub__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__sub__with__flags @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp16__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp16__to__float @ V3c ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__float__def,axiom,
! [V0w: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__to__float @ V0w )
= ( c_2Ebinary__ieee_2Efloat__Sign__fupd @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( c_2Ewords_2Eword__extract @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ tyop_2Eone_2Eone @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V0w ) ) @ ( c_2Ebinary__ieee_2Efloat__Exponent__fupd @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ewords_2Eword__extract @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ V0w ) ) @ ( c_2Ebinary__ieee_2Efloat__Significand__fupd @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ewords_2Eword__extract @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ c_2Enum_2E0 @ V0w ) ) @ ( c_2Ebool_2EARB @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efloat__to__fp32__def,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0x )
= ( c_2Ewords_2Eword__concat @ tyop_2Eone_2Eone @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__Sign @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0x ) @ ( c_2Ewords_2Eword__concat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__Exponent @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0x ) @ ( c_2Ebinary__ieee_2Efloat__Significand @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0x ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__real__def,axiom,
( c_2Emachine__ieee_2Efp32__to__real
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ tyop_2Erealax_2Ereal @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__to__real @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__value__def,axiom,
( c_2Emachine__ieee_2Efp32__to__value
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ tyop_2Ebinary__ieee_2Efloat__value @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__value @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Ereal__to__fp32__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Ereal__to__fp32 @ V0mode )
= ( c_2Ecombin_2Eo @ tyop_2Erealax_2Ereal @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Ereal__to__float @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) ) ) ).
thf(thm_2Emachine__ieee_2Ereal__to__fp32__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Ereal__to__fp32__with__flags @ V0mode )
= ( c_2Ecombin_2Eo @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 ) @ ( c_2Ebinary__ieee_2Ereal__to__float__with__flags @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) ) ) ).
thf(thm_2Emachine__ieee_2Eint__to__fp32__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Einteger_2Eint] :
( ( c_2Emachine__ieee_2Eint__to__fp32 @ V0mode @ V1a )
= ( c_2Emachine__ieee_2Ereal__to__fp32 @ V0mode @ ( c_2Eintreal_2Ereal__of__int @ V1a ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__roundToIntegral__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp32__roundToIntegral @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__round__to__integral @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__int__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp32__to__int @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Eoption_2Eoption @ tyop_2Einteger_2Eint ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__to__int @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp32__sqrt__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp32__sqrt @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__sqrt__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp32__sqrt__with__flags @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 ) @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__negate__def,axiom,
( c_2Emachine__ieee_2Efp32__negate
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__negate @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__abs__def,axiom,
( c_2Emachine__ieee_2Efp32__abs
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__abs @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isNan__def,axiom,
( c_2Emachine__ieee_2Efp32__isNan
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__nan @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isSignallingNan__def,axiom,
( c_2Emachine__ieee_2Efp32__isSignallingNan
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__signalling @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isIntegral__def,axiom,
( c_2Emachine__ieee_2Efp32__isIntegral
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__integral @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isZero__def,axiom,
( c_2Emachine__ieee_2Efp32__isZero
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__zero @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isNormal__def,axiom,
( c_2Emachine__ieee_2Efp32__isNormal
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__normal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isSubnormal__def,axiom,
( c_2Emachine__ieee_2Efp32__isSubnormal
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__subnormal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isFinite__def,axiom,
( c_2Emachine__ieee_2Efp32__isFinite
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__finite @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isInfinite__def,axiom,
( c_2Emachine__ieee_2Efp32__isInfinite
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__infinite @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp32__posInf__def,axiom,
( c_2Emachine__ieee_2Efp32__posInf
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__plus__infinity @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__negInf__def,axiom,
( c_2Emachine__ieee_2Efp32__negInf
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__minus__infinity @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__posZero__def,axiom,
( c_2Emachine__ieee_2Efp32__posZero
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__plus__zero @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__negZero__def,axiom,
( c_2Emachine__ieee_2Efp32__negZero
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__minus__zero @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__posMin__def,axiom,
( c_2Emachine__ieee_2Efp32__posMin
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__plus__min @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__negMin__def,axiom,
( c_2Emachine__ieee_2Efp32__negMin
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__minus__min @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__top__def,axiom,
( c_2Emachine__ieee_2Efp32__top
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__top @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__bottom__def,axiom,
( c_2Emachine__ieee_2Efp32__bottom
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__bottom @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__add__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__add @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__sub__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__sub @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__div__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__div @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__add__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__add__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__sub__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__sub__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__div__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__div__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__compare__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__compare @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__equal__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__equal @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__lessThan__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__lessThan @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__lessEqual__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__lessEqual @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__greaterThan__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__greaterThan @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__greaterEqual__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__greaterEqual @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__add__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__add @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V3c ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__sub__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__sub @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V3c ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__add__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__add__with__flags @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V3c ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__sub__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__sub__with__flags @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp32__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp32__to__float @ V3c ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__float__def,axiom,
! [V0w: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__to__float @ V0w )
= ( c_2Ebinary__ieee_2Efloat__Sign__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( c_2Ewords_2Eword__extract @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ tyop_2Eone_2Eone @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ V0w ) ) @ ( c_2Ebinary__ieee_2Efloat__Exponent__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ewords_2Eword__extract @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V0w ) ) @ ( c_2Ebinary__ieee_2Efloat__Significand__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ewords_2Eword__extract @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) @ c_2Enum_2E0 @ V0w ) ) @ ( c_2Ebool_2EARB @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efloat__to__fp64__def,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0x )
= ( c_2Ewords_2Eword__concat @ tyop_2Eone_2Eone @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__Sign @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0x ) @ ( c_2Ewords_2Eword__concat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__Exponent @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0x ) @ ( c_2Ebinary__ieee_2Efloat__Significand @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0x ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__real__def,axiom,
( c_2Emachine__ieee_2Efp64__to__real
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ tyop_2Erealax_2Ereal @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__to__real @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__value__def,axiom,
( c_2Emachine__ieee_2Efp64__to__value
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ tyop_2Ebinary__ieee_2Efloat__value @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__value @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Ereal__to__fp64__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Ereal__to__fp64 @ V0mode )
= ( c_2Ecombin_2Eo @ tyop_2Erealax_2Ereal @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Ereal__to__float @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) ) ) ).
thf(thm_2Emachine__ieee_2Ereal__to__fp64__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Ereal__to__fp64__with__flags @ V0mode )
= ( c_2Ecombin_2Eo @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 ) @ ( c_2Ebinary__ieee_2Ereal__to__float__with__flags @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) ) ) ).
thf(thm_2Emachine__ieee_2Eint__to__fp64__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Einteger_2Eint] :
( ( c_2Emachine__ieee_2Eint__to__fp64 @ V0mode @ V1a )
= ( c_2Emachine__ieee_2Ereal__to__fp64 @ V0mode @ ( c_2Eintreal_2Ereal__of__int @ V1a ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__roundToIntegral__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp64__roundToIntegral @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__round__to__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__int__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp64__to__int @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Eoption_2Eoption @ tyop_2Einteger_2Eint ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__to__int @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp64__sqrt__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp64__sqrt @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__sqrt__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp64__sqrt__with__flags @ V0mode )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 ) @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__negate__def,axiom,
( c_2Emachine__ieee_2Efp64__negate
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__negate @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__abs__def,axiom,
( c_2Emachine__ieee_2Efp64__abs
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__abs @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isNan__def,axiom,
( c_2Emachine__ieee_2Efp64__isNan
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__nan @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isSignallingNan__def,axiom,
( c_2Emachine__ieee_2Efp64__isSignallingNan
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__signalling @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isIntegral__def,axiom,
( c_2Emachine__ieee_2Efp64__isIntegral
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isZero__def,axiom,
( c_2Emachine__ieee_2Efp64__isZero
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__zero @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isNormal__def,axiom,
( c_2Emachine__ieee_2Efp64__isNormal
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__normal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isSubnormal__def,axiom,
( c_2Emachine__ieee_2Efp64__isSubnormal
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__subnormal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isFinite__def,axiom,
( c_2Emachine__ieee_2Efp64__isFinite
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__finite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isInfinite__def,axiom,
( c_2Emachine__ieee_2Efp64__isInfinite
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ $o @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__is__infinite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float ) ) ).
thf(thm_2Emachine__ieee_2Efp64__posInf__def,axiom,
( c_2Emachine__ieee_2Efp64__posInf
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__plus__infinity @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__negInf__def,axiom,
( c_2Emachine__ieee_2Efp64__negInf
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__minus__infinity @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__posZero__def,axiom,
( c_2Emachine__ieee_2Efp64__posZero
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__plus__zero @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__negZero__def,axiom,
( c_2Emachine__ieee_2Efp64__negZero
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__minus__zero @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__posMin__def,axiom,
( c_2Emachine__ieee_2Efp64__posMin
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__plus__min @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__negMin__def,axiom,
( c_2Emachine__ieee_2Efp64__negMin
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__minus__min @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__top__def,axiom,
( c_2Emachine__ieee_2Efp64__top
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__top @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__bottom__def,axiom,
( c_2Emachine__ieee_2Efp64__bottom
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__bottom @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__add__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__add @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__sub__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__sub @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__div__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__div @ V0mode @ V1a @ V2b )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__add__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__add__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__sub__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__sub__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__div__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__div__with__flags @ V0mode @ V1a @ V2b )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__compare__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__compare @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__equal__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__equal @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__lessThan__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__lessThan @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__lessEqual__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__lessEqual @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__greaterThan__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__greaterThan @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__greaterEqual__def,axiom,
! [V0a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V1b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__greaterEqual @ V0a @ V1b )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V0a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V1b ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__add__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__add @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V3c ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__sub__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__sub @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V3c ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__add__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__add__with__flags @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V3c ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__sub__with__flags__def,axiom,
! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V2b: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V3c: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__sub__with__flags @ V0mode @ V1a @ V2b @ V3c )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ ( c_2Emachine__ieee_2Efp64__to__float @ V1a ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V2b ) @ ( c_2Emachine__ieee_2Efp64__to__float @ V3c ) ) ) ) ).
thf(thm_2Emachine__ieee_2Econvert__def,axiom,
! [A_27a: $tType,A_27b: $tType,A_27c: $tType,A_27d: $tType,A_27e: $tType,A_27f: $tType,V0to__float: ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Ebinary__ieee_2Efloat @ A_27b @ A_27c ),V1from__float: ( tyop_2Ebinary__ieee_2Efloat @ A_27d @ A_27e ) > ( tyop_2Efcp_2Ecart @ $o @ A_27f ),V2from__real__with__flags: tyop_2Ebinary__ieee_2Erounding > tyop_2Erealax_2Ereal > ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ A_27f ) ),V3m: tyop_2Ebinary__ieee_2Erounding,V4w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Emachine__ieee_2Econvert @ A_27a @ A_27b @ A_27c @ A_27d @ A_27e @ A_27f @ V0to__float @ V1from__float @ V2from__real__with__flags @ V3m @ V4w )
= ( c_2Ebool_2ELET @ ( tyop_2Ebinary__ieee_2Efloat @ A_27b @ A_27c ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ A_27f ) )
@ ^ [V5f: tyop_2Ebinary__ieee_2Efloat @ A_27b @ A_27c] :
( c_2Ebinary__ieee_2Efloat__value__CASE @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ A_27f ) ) @ ( c_2Ebinary__ieee_2Efloat__value @ A_27b @ A_27c @ V5f )
@ ^ [V6r: tyop_2Erealax_2Ereal] : ( V2from__real__with__flags @ V3m @ V6r )
@ ( c_2Epair_2E_2C @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ A_27f ) @ c_2Ebinary__ieee_2Eclear__flags @ ( V1from__float @ ( c_2Ebool_2ECOND @ ( tyop_2Ebinary__ieee_2Efloat @ A_27d @ A_27e ) @ ( c_2Emin_2E_3D @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( c_2Ebinary__ieee_2Efloat__Sign @ A_27b @ A_27c @ V5f ) @ ( c_2Ewords_2En2w @ tyop_2Eone_2Eone @ c_2Enum_2E0 ) ) @ ( c_2Ebinary__ieee_2Efloat__plus__infinity @ A_27d @ A_27e @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ A_27d @ A_27e ) ) ) @ ( c_2Ebinary__ieee_2Efloat__minus__infinity @ A_27d @ A_27e @ ( c_2Ebool_2Ethe__value @ ( tyop_2Epair_2Eprod @ A_27d @ A_27e ) ) ) ) ) )
@ ( c_2Epair_2E_2C @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ A_27f ) @ ( c_2Ebinary__ieee_2Echeck__for__signalling @ A_27b @ A_27c @ ( c_2Elist_2ECONS @ ( tyop_2Ebinary__ieee_2Efloat @ A_27b @ A_27c ) @ V5f @ ( c_2Elist_2ENIL @ ( tyop_2Ebinary__ieee_2Efloat @ A_27b @ A_27c ) ) ) )
@ ( V1from__float
@ ( c_2Emin_2E_40 @ ( tyop_2Ebinary__ieee_2Efloat @ A_27d @ A_27e )
@ ^ [V7fp: tyop_2Ebinary__ieee_2Efloat @ A_27d @ A_27e] : ( c_2Ebinary__ieee_2Efloat__is__nan @ A_27d @ A_27e @ V7fp ) ) ) ) )
@ ( V0to__float @ V4w ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__fp32__with__flags__def,axiom,
( c_2Emachine__ieee_2Efp16__to__fp32__with__flags
= ( c_2Emachine__ieee_2Econvert @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ c_2Emachine__ieee_2Efp16__to__float @ c_2Emachine__ieee_2Efloat__to__fp32 @ c_2Emachine__ieee_2Ereal__to__fp32__with__flags @ c_2Ebinary__ieee_2EroundTiesToEven ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__fp64__with__flags__def,axiom,
( c_2Emachine__ieee_2Efp16__to__fp64__with__flags
= ( c_2Emachine__ieee_2Econvert @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ c_2Emachine__ieee_2Efp16__to__float @ c_2Emachine__ieee_2Efloat__to__fp64 @ c_2Emachine__ieee_2Ereal__to__fp64__with__flags @ c_2Ebinary__ieee_2EroundTiesToEven ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__fp64__with__flags__def,axiom,
( c_2Emachine__ieee_2Efp32__to__fp64__with__flags
= ( c_2Emachine__ieee_2Econvert @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float @ c_2Emachine__ieee_2Efloat__to__fp64 @ c_2Emachine__ieee_2Ereal__to__fp64__with__flags @ c_2Ebinary__ieee_2EroundTiesToEven ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__fp32__with__flags__def,axiom,
( c_2Emachine__ieee_2Efp64__to__fp32__with__flags
= ( c_2Emachine__ieee_2Econvert @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float @ c_2Emachine__ieee_2Efloat__to__fp32 @ c_2Emachine__ieee_2Ereal__to__fp32__with__flags ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__fp16__with__flags__def,axiom,
( c_2Emachine__ieee_2Efp64__to__fp16__with__flags
= ( c_2Emachine__ieee_2Econvert @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp64__to__float @ c_2Emachine__ieee_2Efloat__to__fp16 @ c_2Emachine__ieee_2Ereal__to__fp16__with__flags ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__fp16__with__flags__def,axiom,
( c_2Emachine__ieee_2Efp32__to__fp16__with__flags
= ( c_2Emachine__ieee_2Econvert @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__float @ c_2Emachine__ieee_2Efloat__to__fp16 @ c_2Emachine__ieee_2Ereal__to__fp16__with__flags ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__fp32__def,axiom,
( c_2Emachine__ieee_2Efp16__to__fp32
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ c_2Emachine__ieee_2Efp16__to__fp32__with__flags ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__fp64__def,axiom,
( c_2Emachine__ieee_2Efp16__to__fp64
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) @ c_2Emachine__ieee_2Efp16__to__fp64__with__flags ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__fp64__def,axiom,
( c_2Emachine__ieee_2Efp32__to__fp64
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) @ c_2Emachine__ieee_2Efp32__to__fp64__with__flags ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__fp32__def,axiom,
! [V0m: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp64__to__fp32 @ V0m )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__fp32__with__flags @ V0m ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__fp16__def,axiom,
! [V0m: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp64__to__fp16 @ V0m )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__fp16__with__flags @ V0m ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__fp16__def,axiom,
! [V0m: tyop_2Ebinary__ieee_2Erounding] :
( ( c_2Emachine__ieee_2Efp32__to__fp16 @ V0m )
= ( c_2Ecombin_2Eo @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__fp16__with__flags @ V0m ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__float__11,axiom,
! [V0x: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ),V1y: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( ( c_2Emachine__ieee_2Efp16__to__float @ V0x )
= ( c_2Emachine__ieee_2Efp16__to__float @ V1y ) )
<=> ( V0x = V1y ) ) ).
thf(thm_2Emachine__ieee_2Efloat__to__fp16__11,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V1y: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0x )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1y ) )
<=> ( V0x = V1y ) ) ).
thf(thm_2Emachine__ieee_2Efloat__to__fp16__fp16__to__float,axiom,
! [V0x: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Emachine__ieee_2Efp16__to__float @ V0x ) )
= V0x ) ).
thf(thm_2Emachine__ieee_2Efp16__to__float__float__to__fp16,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0x ) )
= V0x ) ).
thf(thm_2Emachine__ieee_2Efp16__nchotomy,axiom,
! [V0x: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
? [V1y: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( V0x
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1y ) ) ).
thf(thm_2Emachine__ieee_2Efloat__fp16__nchotomy,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
? [V1y: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )] :
( V0x
= ( c_2Emachine__ieee_2Efp16__to__float @ V1y ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__float__n2w,axiom,
! [V0n: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V0n ) )
= ( c_2Ebool_2ELET @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )
@ ( c_2Epair_2EUNCURRY @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )
@ ^ [V1q: tyop_2Enum_2Enum,V2f: tyop_2Enum_2Enum] :
( c_2Ebool_2ELET @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )
@ ( c_2Epair_2EUNCURRY @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )
@ ^ [V3s: tyop_2Enum_2Enum,V4e: tyop_2Enum_2Enum] : ( c_2Ebinary__ieee_2Efloat__Sign__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( c_2Ewords_2En2w @ tyop_2Eone_2Eone @ ( c_2Earithmetic_2EMOD @ V3s @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__Exponent__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V4e ) ) @ ( c_2Ebinary__ieee_2Efloat__Significand__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V2f ) ) @ ( c_2Ebool_2EARB @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) )
@ ( c_2Ebit_2EDIVMOD__2EXP @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) @ V1q ) ) )
@ ( c_2Ebit_2EDIVMOD__2EXP @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) @ V0n ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__sqrt,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__sqrt @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V1a ) ) ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__sqrt @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V3a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V3a ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__add,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__add @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__add @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__add @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__add @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__sub,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__sub @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__sub @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__sub @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__sub @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__div,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__div @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__div @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__div @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__div @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__compare,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__compare @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__compare @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__compare @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__compare @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__equal,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__equal @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__equal @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__equal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__equal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__lessThan,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__lessThan @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__lessThan @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__lessThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__lessThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__lessEqual,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__lessEqual @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__lessEqual @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__lessEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__lessEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__greaterThan,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__greaterThan @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__greaterThan @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__greaterThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__greaterThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__greaterEqual,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__greaterEqual @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__greaterEqual @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__greaterEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__greaterEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__real,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__to__real @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__to__real @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__to__real @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__to__real @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__value,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__to__value @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__value @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__to__value @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__value @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__to__int,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__to__int @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__to__int @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V1a ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__to__int @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V3a ) )
= ( c_2Ebinary__ieee_2Efloat__to__int @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V3a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__abs,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__abs @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__abs @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__abs @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__abs @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__negate,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__negate @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__negate @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__negate @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__negate @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isNan,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__isNan @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__nan @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__isNan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__nan @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isSignallingNan,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__isSignallingNan @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__signalling @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__isSignallingNan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__signalling @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isIntegral,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__isIntegral @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__isIntegral @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isZero,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__isZero @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__zero @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__isZero @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__zero @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isNormal,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__isNormal @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__normal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__isNormal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__normal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isSubnormal,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__isSubnormal @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__subnormal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__isSubnormal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__subnormal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isFinite,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__isFinite @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__finite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__isFinite @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__finite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__isInfinite,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__isInfinite @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__infinite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__isInfinite @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__infinite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__roundToIntegral,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__roundToIntegral @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__round__to__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V1a ) ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__roundToIntegral @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V3a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__round__to__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V3a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__sqrt__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__sqrt__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1a ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V1a ) ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__sqrt__with__flags @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V3a ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V3a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__add__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__add__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__add__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__add__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__add__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__sub__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__sub__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__sub__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__sub__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__sub__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__div__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__div__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__div__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__div__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__div__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__add,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__add @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V3a @ V2b @ V1c ) ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__add @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5c ) ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__add @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V9c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) @ V9c ) ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__add @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V13c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V13c ) ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__add @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V17c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__add @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V21c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V21c ) ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__add @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V25c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V26b ) ) @ V25c ) ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__add @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V29c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V29c ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__sub,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__sub @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V3a @ V2b @ V1c ) ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__sub @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5c ) ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__sub @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V9c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) @ V9c ) ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__sub @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V13c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V13c ) ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__sub @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V17c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__sub @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V21c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V21c ) ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__sub @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V25c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V26b ) ) @ V25c ) ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__sub @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V29c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V29c ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__add__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__add__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V3a @ V2b @ V1c ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__add__with__flags @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5c ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__add__with__flags @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V9c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) @ V9c ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__add__with__flags @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V13c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V13c ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__add__with__flags @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V17c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__add__with__flags @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V21c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V21c ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__add__with__flags @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V25c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V26b ) ) @ V25c ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__add__with__flags @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V29c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V29c ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp16__mul__sub__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__sub__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V1c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V0mode @ V3a @ V2b @ V1c ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__sub__with__flags @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V5c ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__sub__with__flags @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V9c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V10b ) ) @ V9c ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) )] :
( ( c_2Emachine__ieee_2Efp16__mul__sub__with__flags @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V13c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V13c ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__sub__with__flags @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V17c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__sub__with__flags @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V21c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V21c ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__sub__with__flags @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp16 @ V25c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V26b ) ) @ V25c ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp16__mul__sub__with__flags @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V29c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp16 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp16__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V29c ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__float__11,axiom,
! [V0x: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ),V1y: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( ( c_2Emachine__ieee_2Efp32__to__float @ V0x )
= ( c_2Emachine__ieee_2Efp32__to__float @ V1y ) )
<=> ( V0x = V1y ) ) ).
thf(thm_2Emachine__ieee_2Efloat__to__fp32__11,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1y: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0x )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1y ) )
<=> ( V0x = V1y ) ) ).
thf(thm_2Emachine__ieee_2Efloat__to__fp32__fp32__to__float,axiom,
! [V0x: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Emachine__ieee_2Efp32__to__float @ V0x ) )
= V0x ) ).
thf(thm_2Emachine__ieee_2Efp32__to__float__float__to__fp32,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0x ) )
= V0x ) ).
thf(thm_2Emachine__ieee_2Efp32__nchotomy,axiom,
! [V0x: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
? [V1y: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( V0x
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1y ) ) ).
thf(thm_2Emachine__ieee_2Efloat__fp32__nchotomy,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
? [V1y: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) )] :
( V0x
= ( c_2Emachine__ieee_2Efp32__to__float @ V1y ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__float__n2w,axiom,
! [V0n: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V0n ) )
= ( c_2Ebool_2ELET @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )
@ ( c_2Epair_2EUNCURRY @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )
@ ^ [V1q: tyop_2Enum_2Enum,V2f: tyop_2Enum_2Enum] :
( c_2Ebool_2ELET @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )
@ ( c_2Epair_2EUNCURRY @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )
@ ^ [V3s: tyop_2Enum_2Enum,V4e: tyop_2Enum_2Enum] : ( c_2Ebinary__ieee_2Efloat__Sign__fupd @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( c_2Ewords_2En2w @ tyop_2Eone_2Eone @ ( c_2Earithmetic_2EMOD @ V3s @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__Exponent__fupd @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V4e ) ) @ ( c_2Ebinary__ieee_2Efloat__Significand__fupd @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ V2f ) ) @ ( c_2Ebool_2EARB @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) )
@ ( c_2Ebit_2EDIVMOD__2EXP @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) @ V1q ) ) )
@ ( c_2Ebit_2EDIVMOD__2EXP @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ V0n ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__sqrt,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__sqrt @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V1a ) ) ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__sqrt @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V3a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V3a ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__add,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__add @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__add @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__add @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__add @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__sub,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__sub @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__sub @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__sub @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__sub @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__div,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__div @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__div @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__div @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__div @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__compare,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__compare @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__compare @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__compare @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__compare @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__equal,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__equal @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__equal @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__equal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__equal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__lessThan,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__lessThan @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__lessThan @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__lessThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__lessThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__lessEqual,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__lessEqual @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__lessEqual @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__lessEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__lessEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__greaterThan,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__greaterThan @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__greaterThan @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__greaterThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__greaterThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__greaterEqual,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__greaterEqual @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__greaterEqual @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__greaterEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__greaterEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__real,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__to__real @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__to__real @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__to__real @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__to__real @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__value,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__to__value @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__value @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__to__value @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__value @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__to__int,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__to__int @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__to__int @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V1a ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__to__int @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V3a ) )
= ( c_2Ebinary__ieee_2Efloat__to__int @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V3a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__abs,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__abs @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__abs @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__abs @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__abs @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__negate,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__negate @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__negate @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__negate @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__negate @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isNan,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__isNan @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__nan @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__isNan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__nan @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isSignallingNan,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__isSignallingNan @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__signalling @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__isSignallingNan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__signalling @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isIntegral,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__isIntegral @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__integral @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__isIntegral @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__integral @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isZero,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__isZero @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__zero @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__isZero @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__zero @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isNormal,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__isNormal @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__normal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__isNormal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__normal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isSubnormal,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__isSubnormal @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__subnormal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__isSubnormal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__subnormal @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isFinite,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__isFinite @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__finite @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__isFinite @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__finite @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__isInfinite,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__isInfinite @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__infinite @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__isInfinite @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__infinite @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__roundToIntegral,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__roundToIntegral @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__round__to__integral @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V1a ) ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__roundToIntegral @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V3a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__round__to__integral @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V3a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__sqrt__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__sqrt__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1a ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V1a ) ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__sqrt__with__flags @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V3a ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V3a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__add__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__add__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__add__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__add__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__add__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__sub__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__sub__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__sub__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__sub__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__sub__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__div__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__div__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__div__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__div__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__div__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__add,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__add @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V3a @ V2b @ V1c ) ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__add @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5c ) ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__add @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V9c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) @ V9c ) ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__add @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V13c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V13c ) ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__add @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V17c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__add @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V21c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V21c ) ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__add @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V25c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V26b ) ) @ V25c ) ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__add @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V29c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V29c ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__sub,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__sub @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V3a @ V2b @ V1c ) ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__sub @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5c ) ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__sub @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V9c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) @ V9c ) ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__sub @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V13c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V13c ) ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__sub @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V17c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__sub @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V21c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V21c ) ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__sub @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V25c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V26b ) ) @ V25c ) ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__sub @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V29c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V29c ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__add__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__add__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V3a @ V2b @ V1c ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__add__with__flags @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5c ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__add__with__flags @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V9c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) @ V9c ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__add__with__flags @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V13c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V13c ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__add__with__flags @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V17c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__add__with__flags @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V21c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V21c ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__add__with__flags @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V25c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V26b ) ) @ V25c ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__add__with__flags @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V29c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V29c ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp32__mul__sub__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__sub__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V1c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V3a @ V2b @ V1c ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__sub__with__flags @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V5c ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__sub__with__flags @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V9c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V10b ) ) @ V9c ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp32__mul__sub__with__flags @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V13c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V13c ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__sub__with__flags @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V17c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__sub__with__flags @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V21c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V21c ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__sub__with__flags @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp32 @ V25c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V26b ) ) @ V25c ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp32__mul__sub__with__flags @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V29c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp32 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp32__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) @ V29c ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__float__11,axiom,
! [V0x: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ),V1y: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( ( c_2Emachine__ieee_2Efp64__to__float @ V0x )
= ( c_2Emachine__ieee_2Efp64__to__float @ V1y ) )
<=> ( V0x = V1y ) ) ).
thf(thm_2Emachine__ieee_2Efloat__to__fp64__11,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1y: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0x )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1y ) )
<=> ( V0x = V1y ) ) ).
thf(thm_2Emachine__ieee_2Efloat__to__fp64__fp64__to__float,axiom,
! [V0x: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Emachine__ieee_2Efp64__to__float @ V0x ) )
= V0x ) ).
thf(thm_2Emachine__ieee_2Efp64__to__float__float__to__fp64,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0x ) )
= V0x ) ).
thf(thm_2Emachine__ieee_2Efp64__nchotomy,axiom,
! [V0x: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
? [V1y: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( V0x
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1y ) ) ).
thf(thm_2Emachine__ieee_2Efloat__fp64__nchotomy,axiom,
! [V0x: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
? [V1y: tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) )] :
( V0x
= ( c_2Emachine__ieee_2Efp64__to__float @ V1y ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__float__n2w,axiom,
! [V0n: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V0n ) )
= ( c_2Ebool_2ELET @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )
@ ( c_2Epair_2EUNCURRY @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )
@ ^ [V1q: tyop_2Enum_2Enum,V2f: tyop_2Enum_2Enum] :
( c_2Ebool_2ELET @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )
@ ( c_2Epair_2EUNCURRY @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) )
@ ^ [V3s: tyop_2Enum_2Enum,V4e: tyop_2Enum_2Enum] : ( c_2Ebinary__ieee_2Efloat__Sign__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( tyop_2Efcp_2Ecart @ $o @ tyop_2Eone_2Eone ) @ ( c_2Ewords_2En2w @ tyop_2Eone_2Eone @ ( c_2Earithmetic_2EMOD @ V3s @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__Exponent__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V4e ) ) @ ( c_2Ebinary__ieee_2Efloat__Significand__fupd @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Ecombin_2EK @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ V2f ) ) @ ( c_2Ebool_2EARB @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) ) )
@ ( c_2Ebit_2EDIVMOD__2EXP @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) @ V1q ) ) )
@ ( c_2Ebit_2EDIVMOD__2EXP @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V0n ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__sqrt,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__sqrt @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V1a ) ) ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__sqrt @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V3a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V3a ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__add,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__add @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__add @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__add @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__add @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__sub,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__sub @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__sub @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__sub @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__sub @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__div,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__div @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__div @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__div @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) ) @ V7b ) ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__div @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__compare,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__compare @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__compare @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__compare @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__compare @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__compare @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__equal,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__equal @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__equal @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__equal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__equal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__lessThan,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__lessThan @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__lessThan @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__lessThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__lessThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__less__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__lessEqual,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__lessEqual @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__lessEqual @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__lessEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__lessEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__less__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__greaterThan,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__greaterThan @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__greaterThan @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__greaterThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__greaterThan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__than @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__greaterEqual,axiom,
( ! [V0b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__greaterEqual @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V1a @ V0b ) )
& ! [V2b: tyop_2Enum_2Enum,V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__greaterEqual @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V3a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V2b ) ) ) )
& ! [V4b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V5a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__greaterEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V4b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5a ) ) @ V4b ) )
& ! [V6b: tyop_2Enum_2Enum,V7a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__greaterEqual @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) )
= ( c_2Ebinary__ieee_2Efloat__greater__equal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V7a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V6b ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__real,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__to__real @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__to__real @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__to__real @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__to__real @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__value,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__to__value @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__value @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__to__value @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__value @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__to__int,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__to__int @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__to__int @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V1a ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__to__int @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V3a ) )
= ( c_2Ebinary__ieee_2Efloat__to__int @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V3a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__abs,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__abs @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__abs @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__abs @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__abs @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__negate,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__negate @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__negate @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__negate @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__negate @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isNan,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__isNan @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__nan @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__isNan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__nan @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isSignallingNan,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__isSignallingNan @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__signalling @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__isSignallingNan @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__signalling @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isIntegral,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__isIntegral @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__isIntegral @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isZero,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__isZero @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__zero @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__isZero @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__zero @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isNormal,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__isNormal @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__normal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__isNormal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__normal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isSubnormal,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__isSubnormal @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__subnormal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__isSubnormal @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__subnormal @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isFinite,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__isFinite @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__finite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__isFinite @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__finite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__isInfinite,axiom,
( ! [V0a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__isInfinite @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V0a ) )
= ( c_2Ebinary__ieee_2Efloat__is__infinite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0a ) )
& ! [V1a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__isInfinite @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) )
= ( c_2Ebinary__ieee_2Efloat__is__infinite @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V1a ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__roundToIntegral,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__roundToIntegral @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__round__to__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V1a ) ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__roundToIntegral @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V3a ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__round__to__integral @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V3a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__sqrt__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__sqrt__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1a ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V1a ) ) )
& ! [V2mode: tyop_2Ebinary__ieee_2Erounding,V3a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__sqrt__with__flags @ V2mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V3a ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__sqrt @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V2mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V3a ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__add__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__add__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__add__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__add__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__add__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__sub__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__sub__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__sub__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__sub__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__sub__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__div__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__div__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V2a @ V1b ) ) )
& ! [V3mode: tyop_2Ebinary__ieee_2Erounding,V4b: tyop_2Enum_2Enum,V5a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__div__with__flags @ V3mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V5a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V3mode @ V5a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V4b ) ) ) ) )
& ! [V6mode: tyop_2Ebinary__ieee_2Erounding,V7b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V8a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__div__with__flags @ V6mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V6mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V8a ) ) @ V7b ) ) )
& ! [V9mode: tyop_2Ebinary__ieee_2Erounding,V10b: tyop_2Enum_2Enum,V11a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__div__with__flags @ V9mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__div @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V9mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V11a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__add,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__add @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V3a @ V2b @ V1c ) ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__add @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5c ) ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__add @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V9c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) @ V9c ) ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__add @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V13c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V13c ) ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__add @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V17c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__add @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V21c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V21c ) ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__add @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V25c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V26b ) ) @ V25c ) ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__add @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V29c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V29c ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__sub,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__sub @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V3a @ V2b @ V1c ) ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__sub @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5c ) ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__sub @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V9c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) @ V9c ) ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__sub @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V13c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V13c ) ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__sub @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V17c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__sub @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V21c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V21c ) ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__sub @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V25c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V26b ) ) @ V25c ) ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__sub @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V29c ) )
= ( c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Epair_2ESND @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V29c ) ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__add__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__add__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V3a @ V2b @ V1c ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__add__with__flags @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5c ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__add__with__flags @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V9c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) @ V9c ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__add__with__flags @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V13c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V13c ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__add__with__flags @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V17c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__add__with__flags @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V21c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V21c ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__add__with__flags @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V25c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V26b ) ) @ V25c ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__add__with__flags @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V29c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__add @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V29c ) ) ) ) ) ) ).
thf(thm_2Emachine__ieee_2Efp64__mul__sub__with__flags,axiom,
( ! [V0mode: tyop_2Ebinary__ieee_2Erounding,V1c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V2b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V3a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__sub__with__flags @ V0mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V3a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V2b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V1c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V0mode @ V3a @ V2b @ V1c ) ) )
& ! [V4mode: tyop_2Ebinary__ieee_2Erounding,V5c: tyop_2Enum_2Enum,V6b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V7a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__sub__with__flags @ V4mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V7a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V6b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V4mode @ V7a @ V6b @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V5c ) ) ) ) )
& ! [V8mode: tyop_2Ebinary__ieee_2Erounding,V9c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V10b: tyop_2Enum_2Enum,V11a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__sub__with__flags @ V8mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V11a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V9c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V8mode @ V11a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V10b ) ) @ V9c ) ) )
& ! [V12mode: tyop_2Ebinary__ieee_2Erounding,V13c: tyop_2Enum_2Enum,V14b: tyop_2Enum_2Enum,V15a: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) )] :
( ( c_2Emachine__ieee_2Efp64__mul__sub__with__flags @ V12mode @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V15a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V14b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V13c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V12mode @ V15a @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V14b ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V13c ) ) ) ) )
& ! [V16mode: tyop_2Ebinary__ieee_2Erounding,V17c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V18b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V19a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__sub__with__flags @ V16mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V19a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V18b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V17c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V16mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V19a ) ) @ V18b @ V17c ) ) )
& ! [V20mode: tyop_2Ebinary__ieee_2Erounding,V21c: tyop_2Enum_2Enum,V22b: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V23a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__sub__with__flags @ V20mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V23a ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V22b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V21c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V20mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V23a ) ) @ V22b @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V21c ) ) ) ) )
& ! [V24mode: tyop_2Ebinary__ieee_2Erounding,V25c: tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ),V26b: tyop_2Enum_2Enum,V27a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__sub__with__flags @ V24mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V27a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V26b ) @ ( c_2Emachine__ieee_2Efloat__to__fp64 @ V25c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V24mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V27a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V26b ) ) @ V25c ) ) )
& ! [V28mode: tyop_2Ebinary__ieee_2Erounding,V29c: tyop_2Enum_2Enum,V30b: tyop_2Enum_2Enum,V31a: tyop_2Enum_2Enum] :
( ( c_2Emachine__ieee_2Efp64__mul__sub__with__flags @ V28mode @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V31a ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V30b ) @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V29c ) )
= ( c_2Epair_2E_23_23 @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Ebinary__ieee_2Efloat @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) @ tyop_2Ebinary__ieee_2Eflags @ ( tyop_2Efcp_2Ecart @ $o @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) ) @ ( c_2Ecombin_2EI @ tyop_2Ebinary__ieee_2Eflags ) @ c_2Emachine__ieee_2Efloat__to__fp64 @ ( c_2Ebinary__ieee_2Efloat__mul__sub @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit1 @ tyop_2Eone_2Eone ) ) ) ) ) @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit1 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) @ V28mode @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V31a ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V30b ) ) @ ( c_2Emachine__ieee_2Efp64__to__float @ ( c_2Ewords_2En2w @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ ( tyop_2Efcp_2Ebit0 @ tyop_2Eone_2Eone ) ) ) ) ) ) @ V29c ) ) ) ) ) ) ).
%------------------------------------------------------------------------------