X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP569-1.ma;h=ccc1c535aea7f6cba74daab6cfe99fc89969c6d7;hb=0f13d14b63b012e0ea8ce0d0e71bf808fdd444eb;hp=ae7a500185a115ab84c5a0c745101644951bcd29;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP569-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP569-1.ma index ae7a50018..ccc1c535a 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP569-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP569-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP569-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP569-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory (Abelian) *) @@ -42,7 +42,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_1: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a1:Univ. ∀double_divide:∀_:Univ.∀_:Univ.Univ. ∀identity:Univ. @@ -51,22 +51,23 @@ ntheorem prove_these_axioms_1: ∀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 (double_divide A (double_divide (double_divide B (double_divide A C)) (double_divide C identity))) (double_divide identity identity)) B.eq Univ (multiply (inverse a1) a1) identity +∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (double_divide (double_divide A (double_divide (double_divide B (double_divide A C)) (double_divide C identity))) (double_divide identity identity)) B.eq Univ (multiply (inverse a1) a1) identity) . -#Univ. -#A. -#B. -#C. -#a1. -#double_divide. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a1 ##. +#double_divide ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)