X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP449-1.ma;h=f36202b9695615923dd165f1bfb4dcd389ab922f;hb=bbf85ddcdfe0809fee0c6ca9812ce0da30c238af;hp=56086be0da3c459e501e1f75811fe7cc0482e004;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP449-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP449-1.ma index 56086be0d..f36202b96 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP449-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP449-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP449-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP449-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory *) @@ -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. @@ -50,21 +50,22 @@ ntheorem prove_these_axioms_2: ∀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 (divide (divide (divide B B) B) C) (divide (divide (divide B B) A) C))) B.eq Univ (multiply (multiply (inverse b2) b2) a2) a2 +∀H2:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide A (divide (divide (divide (divide B B) B) C) (divide (divide (divide B B) A) C))) B.eq Univ (multiply (multiply (inverse b2) b2) a2) a2) . -#Univ. -#A. -#B. -#C. -#a2. -#b2. -#divide. -#inverse. -#multiply. -#H0. -#H1. -#H2. -nauto by H0,H1,H2; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a2 ##. +#b2 ##. +#divide ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +nauto by H0,H1,H2 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)