X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP560-1.ma;h=e651ea723ac5c18a2a40717e680283feac81342b;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=312246d0f78df093ea13e2b3624062607208287f;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP560-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP560-1.ma index 312246d0f..e651ea723 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP560-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP560-1.ma @@ -44,27 +44,27 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_4: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a:Univ. ∀b: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 a b) (multiply b a) +∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide A (inverse (divide (divide B C) (divide A C)))) B.eq Univ (multiply a b) (multiply b a)) . -#Univ. -#A. -#B. -#C. -#a. -#b. -#divide. -#inverse. -#multiply. -#H0. -#H1. -nauto by H0,H1; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a ##. +#b ##. +#divide ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +nauto by H0,H1 ##; nqed. (* -------------------------------------------------------------------------- *)