X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP501-1.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP501-1.ma;h=8a7c5dd8036ed26c9ef4a43a4441ce6dcbba32ec;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=35ca44ccd35446ad60103d9746c0f5eff0c9fcb2;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP501-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP501-1.ma index 35ca44ccd..8a7c5dd80 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP501-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP501-1.ma @@ -42,7 +42,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_3: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ. ∀a3:Univ. ∀b3:Univ. ∀c3:Univ. @@ -50,22 +50,22 @@ ntheorem prove_these_axioms_3: ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.Univ. ∀H0:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (inverse (double_divide B A)). -∀H1:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (double_divide (inverse A) (inverse (double_divide (inverse (double_divide A (double_divide B C))) (double_divide D (double_divide B D))))) C.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3)) +∀H1:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (double_divide (inverse A) (inverse (double_divide (inverse (double_divide A (double_divide B C))) (double_divide D (double_divide B D))))) C.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3))) . -#Univ. -#A. -#B. -#C. -#D. -#a3. -#b3. -#c3. -#double_divide. -#inverse. -#multiply. -#H0. -#H1. -nauto by H0,H1; +#Univ ##. +#A ##. +#B ##. +#C ##. +#D ##. +#a3 ##. +#b3 ##. +#c3 ##. +#double_divide ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +nauto by H0,H1 ##; nqed. (* -------------------------------------------------------------------------- *)