X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP534-1.ma;h=4c2bb0a8c849680c5434db9278c21391e5d6cbb9;hb=HEAD;hp=977f361ae5c64361be8402adec9df1e1f8b8ac90;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP534-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP534-1.ma index 977f361ae..4c2bb0a8c 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP534-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP534-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP534-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP534-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory (Abelian) *) @@ -42,7 +42,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_2: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a2:Univ. ∀b2:Univ. ∀divide:∀_:Univ.∀_:Univ.Univ. @@ -52,23 +52,24 @@ ntheorem prove_these_axioms_2: ∀H0:∀A:Univ.eq Univ identity (divide A A). ∀H1:∀A:Univ.∀B:Univ.eq Univ (inverse A) (divide (divide B B) A). ∀H2:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (multiply A B) (divide A (divide (divide C C) B)). -∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide A (divide (divide A B) C)) B) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2 +∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide A (divide (divide A B) C)) B) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2) . -#Univ. -#A. -#B. -#C. -#a2. -#b2. -#divide. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a2 ##. +#b2 ##. +#divide ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)