X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP488-1.ma;h=b69c6194529acbc0b82d34f4c532b5acd1f9a43c;hb=b254cc57f5e082712f3ec6be9295eec0062b8d47;hp=9df2118811f3576a834e7f5e350578e52bb2e8b9;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP488-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP488-1.ma index 9df211881..b69c61945 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP488-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP488-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP488-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP488-1 : 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. ∀double_divide:∀_:Univ.∀_:Univ.Univ. ∀identity:Univ. @@ -51,22 +51,23 @@ ntheorem prove_these_axioms_2: ∀H0:∀A:Univ.eq Univ identity (double_divide A (inverse A)). ∀H1:∀A:Univ.eq Univ (inverse A) (double_divide A identity). ∀H2:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (double_divide (double_divide B A) identity). -∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (double_divide A (double_divide (double_divide (double_divide identity (double_divide (double_divide A identity) (double_divide B C))) B) identity)) C.eq Univ (multiply identity a2) a2 +∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (double_divide A (double_divide (double_divide (double_divide identity (double_divide (double_divide A identity) (double_divide B C))) B) identity)) C.eq Univ (multiply identity a2) a2) . -#Univ. -#A. -#B. -#C. -#a2. -#double_divide. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a2 ##. +#double_divide ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)