X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP558-1.ma;h=75cc37b10cfa6c4a56e19c6f8b07ed55dc9ae297;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=9126baa770e90c2469c543d400e6b22033b171b8;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP558-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP558-1.ma index 9126baa77..75cc37b10 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP558-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP558-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP558-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP558-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory (Abelian) *) @@ -42,27 +42,28 @@ 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. ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.Univ. ∀H0:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (divide A (inverse B)). -∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide A (inverse (divide (divide B C) (divide A C)))) B.eq Univ (multiply (multiply (inverse b2) b2) a2) a2 +∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide A (inverse (divide (divide B C) (divide A C)))) B.eq Univ (multiply (multiply (inverse b2) b2) a2) a2) . -#Univ. -#A. -#B. -#C. -#a2. -#b2. -#divide. -#inverse. -#multiply. -#H0. -#H1. -nauto by H0,H1; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a2 ##. +#b2 ##. +#divide ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +nauto by H0,H1 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)