%------------------------------------------------------------------------------
% File     : SYP117^1 : TPTP v9.3.1. Released v9.3.0.
% Domain   : Syntactic
% Problem  : Polymorphic identity defining equation
% Version  : Especial.
% English  : 

% Refs     : 
% Source   : [TPTP]
% Names    : 001 [TPTP]

% Status   : Theorem
% Rating   : 0.00 v9.3.0
% Syntax   : Number of formulae    :    3 (   2 unt;   1 typ;   1 def)
%            Number of atoms       :    2 (   2 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   0   ~;   0   |;   0   &;   3   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Number of types       :    0 (   0 usr)
%            Number of type decls  :    1 (   1 !>P;   0 !>D)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :    5 (   1   ^;   3   !;   0   ?;   5   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)
% SPC      : TH1_THM_EQU_NAR_NDT

% Comments : Originally from HOL Light
%------------------------------------------------------------------------------
thf(i,type,
    i: 
      !>[A: $tType] : ( A > A ) ).

thf('trivia/I_DEF_',definition,
    ! [A: $tType] :
      ( ( i @ A )
      = ( ^ [X: A] : X ) ) ).

thf('trivia/I_THM_',conjecture,
    ! [A: $tType,X: A] :
      ( ( i @ A @ X )
      = X ) ).

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