X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP548-1.ma;h=735d9d1461311497880ce3b25b5616e46951fe0b;hb=bd112857523fc543c78cd29b74417585033ec464;hp=c5c404e8c9deb6fdaf90f6d6ba11027028ff366c;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP548-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP548-1.ma index c5c404e8c..735d9d146 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP548-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP548-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP548-1 : TPTP v3.2.0. Bugfixed v2.7.0. *) +(* File : GRP548-1 : TPTP v3.7.0. Bugfixed v2.7.0. *) (* Domain : Group Theory (Abelian) *) @@ -44,7 +44,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_4: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a:Univ. ∀b:Univ. ∀divide:∀_:Univ.∀_:Univ.Univ. @@ -54,23 +54,24 @@ ntheorem prove_these_axioms_4: ∀H0:∀A:Univ.eq Univ identity (divide A A). ∀H1:∀A:Univ.eq Univ (inverse A) (divide identity A). ∀H2:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (divide A (divide identity B)). -∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide identity (divide A B)) (divide (divide B C) A)) C.eq Univ (multiply a b) (multiply b a) +∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide identity (divide A B)) (divide (divide B C) A)) C.eq Univ (multiply a b) (multiply b a)) . -#Univ. -#A. -#B. -#C. -#a. -#b. -#divide. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a ##. +#b ##. +#divide ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)