%------------------------------------------------------------------------------
% File     : NUM781^3 : TPTP v8.2.0. Released v5.1.0.
% Domain   : Number Theory
% Problem  : Landau theorem 79
% Version  : Especial.
% English  : Symmetry of equality.

% Refs     : [Lan30] Landau (1930), Grundlagen der Analysis
%          : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0019 [Bro09]
%          : THM76 [TPS]

% Status   : Theorem
% Rating   : 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v5.1.0
% Syntax   : Number of formulae    :    3 (   0 unt;   2 typ;   0 def)
%            Number of atoms       :    2 (   2 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :    1 (   0   ~;   0   |;   0   &;   0   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   2 usr;   2 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)
% SPC      : TH0_THM_EQU_NAR

% Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
%            project in the Department of Mathematical Sciences at Carnegie
%            Mellon University. Distributed under the Creative Commons copyleft
%            license: http://creativecommons.org/licenses/by-sa/3.0/
%          : 
%          : Renamed from SYO343^5 
%------------------------------------------------------------------------------
thf(cY,type,
    cY: $i ).

thf(cX,type,
    cX: $i ).

thf(cTHM76,conjecture,
    ( ( cY = cX )
   => ( cX = cY ) ) ).

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