X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP467-1.ma;h=b4155a951565443226bc6190efc638ef78c511d1;hb=5c92c318030a05c766b3f6070dbd23589cbdee04;hp=8a475fb53cd34f4255a968918f2982d3bb7ca77e;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP467-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP467-1.ma index 8a475fb53..b4155a951 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP467-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP467-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP467-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP467-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory *) @@ -42,28 +42,29 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_2: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D: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.∀D:Univ.eq Univ (divide (divide A A) (divide B (divide (divide C (divide D B)) (inverse D)))) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2 +∀H1:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (divide (divide A A) (divide B (divide (divide C (divide D B)) (inverse D)))) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2) . -#Univ. -#A. -#B. -#C. -#D. -#a2. -#b2. -#divide. -#inverse. -#multiply. -#H0. -#H1. -nauto by H0,H1; +#Univ ##. +#A ##. +#B ##. +#C ##. +#D ##. +#a2 ##. +#b2 ##. +#divide ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +nauto by H0,H1 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)