X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP491-1.ma;h=93fd414676fb060aa77f821e58d6ab6beb9d2c41;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=ef3420d086e7f8adc27ebd926347c827a595b7b8;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP491-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP491-1.ma index ef3420d08..93fd41467 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP491-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP491-1.ma @@ -42,7 +42,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_2: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a2:Univ. ∀double_divide:∀_:Univ.∀_:Univ.Univ. ∀identity:Univ. @@ -51,22 +51,22 @@ ntheorem prove_these_axioms_2: ∀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 identity A) (double_divide identity (double_divide (double_divide (double_divide A B) identity) (double_divide C B)))) C.eq Univ (multiply identity a2) a2 +∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (double_divide (double_divide identity A) (double_divide identity (double_divide (double_divide (double_divide A B) identity) (double_divide C B)))) C.eq Univ (multiply identity a2) a2) . -#Univ. -#A. -#B. -#C. -#a2. -#double_divide. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a2 ##. +#double_divide ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; nqed. (* -------------------------------------------------------------------------- *)