TPTP Problem File: SEV457^1.p
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% File : SEV457^1 : TPTP v9.0.0. Released v7.0.0.
% Domain : Analysis
% Problem : INSERT_AC_
% Version : Especial.
% English :
% Refs : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% Source : [Kal16]
% Names : INSERT_AC_1.p [Kal16]
% Status : Theorem
% Rating : 0.00 v7.1.0
% Syntax : Number of formulae : 3 ( 2 unt; 1 typ; 0 def)
% Number of atoms : 8 ( 2 equ; 0 cnn)
% Maximal formula atoms : 1 ( 4 avg)
% Number of connectives : 18 ( 0 ~; 0 |; 0 &; 18 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 0 con; 2-4 aty)
% Number of variables : 7 ( 0 ^; 6 !; 0 ?; 7 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% SPC : TH1_THM_EQU_NAR
% Comments : Exported from core HOL Light.
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thf('thf_const_const/sets/INSERT',type,
'const/sets/INSERT':
!>[A: $tType] : ( A > ( A > $o ) > A > $o ) ).
thf('thm/sets/INSERT_INSERT_',axiom,
! [A: $tType,A0: A,A1: A > $o] :
( ( 'const/sets/INSERT' @ A @ A0 @ ( 'const/sets/INSERT' @ A @ A0 @ A1 ) )
= ( 'const/sets/INSERT' @ A @ A0 @ A1 ) ) ).
thf('thm/sets/INSERT_AC_1',conjecture,
! [A: $tType,A0: A,A1: A > $o] :
( ( 'const/sets/INSERT' @ A @ A0 @ ( 'const/sets/INSERT' @ A @ A0 @ A1 ) )
= ( 'const/sets/INSERT' @ A @ A0 @ A1 ) ) ).
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