%------------------------------------------------------------------------------
% File     : SET989+1 : TPTP v9.0.0. Released v3.2.0.
% Domain   : Set theory
% Problem  : Functions and their basic properties, theorem 8
% Version  : [Urb06] axioms : Especial.
% English  :

% Refs     : [Byl90] Bylinski (1990), Functions and Their Basic Properties
%          : [Urb06] Urban (2006), Email to G. Sutcliffe
% Source   : [Urb06]
% Names    : funct_1__t8_funct_1 [Urb06]

% Status   : Theorem
% Rating   : 0.32 v3.3.0, 0.21 v3.2.0
% Syntax   : Number of formulae    :   35 (  11 unit)
%            Number of atoms       :   78 (   9 equality)
%            Maximal formula depth :    8 (   4 average)
%            Number of connectives :   59 (  16 ~  ;   1  |;  21  &)
%                                         (   6 <=>;  15 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :    8 (   0 propositional; 1-2 arity)
%            Number of functors    :    7 (   1 constant; 0-2 arity)
%            Number of variables   :   57 (   1 singleton;  47 !;  10 ?)
%            Maximal term depth    :    3 (   1 average)

% Comments : Translated by MPTP 0.2 from the original problem in the Mizar
%            library, www.mizar.org
% Bugfixes : v3.4.0 - Renamed to SEU212+3
%------------------------------------------------------------------------------