X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP521-1.ma;h=048f61ce5ddf35bad682141c61341467656e474d;hb=02e8b3eb9d2a8a3bb3942c41b47b6ac048efd5be;hp=bbf1c91c8d0db7d83225719acf34772ad0ec9090;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP521-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP521-1.ma index bbf1c91c8..048f61ce5 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP521-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP521-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP521-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP521-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory (Abelian) *) @@ -44,7 +44,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_1: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a1:Univ. ∀b1:Univ. ∀divide:∀_:Univ.∀_:Univ.Univ. @@ -52,21 +52,22 @@ ntheorem prove_these_axioms_1: ∀multiply:∀_:Univ.∀_:Univ.Univ. ∀H0:∀A:Univ.∀B:Univ.eq Univ (inverse A) (divide (divide B B) A). ∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (multiply A B) (divide A (divide (divide C C) B)). -∀H2:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide A (divide B (divide C (divide A B)))) C.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1) +∀H2:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide A (divide B (divide C (divide A B)))) C.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1)) . -#Univ. -#A. -#B. -#C. -#a1. -#b1. -#divide. -#inverse. -#multiply. -#H0. -#H1. -#H2. -nauto by H0,H1,H2; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a1 ##. +#b1 ##. +#divide ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +nauto by H0,H1,H2 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)