X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP440-1.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP440-1.ma;h=40a3e03e1ee8419fd65d307ac9af7cebe4bbad77;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=ed9efb4267c23f9c2c440a6b069604847ac04db6;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP440-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP440-1.ma index ed9efb426..40a3e03e1 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP440-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP440-1.ma @@ -42,24 +42,24 @@ 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. ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.Univ. -∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (inverse (multiply A (multiply B (multiply (multiply (inverse B) C) (inverse (multiply D (multiply A C))))))) D.eq Univ (multiply (multiply (inverse b2) b2) a2) a2 +∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (inverse (multiply A (multiply B (multiply (multiply (inverse B) C) (inverse (multiply D (multiply A C))))))) D.eq Univ (multiply (multiply (inverse b2) b2) a2) a2) . -#Univ. -#A. -#B. -#C. -#D. -#a2. -#b2. -#inverse. -#multiply. -#H0. -nauto by H0; +#Univ ##. +#A ##. +#B ##. +#C ##. +#D ##. +#a2 ##. +#b2 ##. +#inverse ##. +#multiply ##. +#H0 ##. +nauto by H0 ##; nqed. (* -------------------------------------------------------------------------- *)