%-------------------------------------------------------------------------- % File : GRP194+1 : TPTP v2.3.0. Released v2.0.0. % Domain : Group Theory (Semigroups) % Problem : In semigroups, a surjective homomorphism maps the zero % Version : [Gol93] axioms. % English : If (F,*) and (H,+) are two semigroups, phi is a surjective % homomorphism from F to H, and id is a left zero for F, % then phi(id) is a left zero for H. % Refs : [Gol93] Goller (1993), Anwendung des Theorembeweisers SETHEO a % Source : [Gol93] % Names : % Status : theorem % Rating : 0.33 v2.2.1, 0.00 v2.1.0 % Syntax : Number of formulae : 19 ( 3 unit) % Number of atoms : 47 ( 22 equality) % Maximal formula depth : 6 ( 3 average) % Number of connectives : 28 ( 0 ~ ; 0 |; 11 &) % ( 1 <=>; 16 =>; 0 <=) % ( 0 <~>; 0 ~|; 0 ~&) % Number of predicates : 3 ( 0 propositional; 2-2 arity) % Number of functors : 5 ( 3 constant; 0-3 arity) % Number of variables : 47 ( 0 singleton; 46 !; 1 ?) % Maximal term depth : 3 ( 1 average) % Comments : %--------------------------------------------------------------------------