X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP537-1.ma;h=36020a8c91247c2a6394f381d7a91e16da7d04df;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=7fee7faf8a7a1b74fcba2a649593877c9be9a718;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP537-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP537-1.ma index 7fee7faf8..36020a8c9 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP537-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP537-1.ma @@ -42,7 +42,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_1: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a1:Univ. ∀b1:Univ. ∀divide:∀_:Univ.∀_:Univ.Univ. @@ -52,23 +52,23 @@ ntheorem prove_these_axioms_1: ∀H0:∀A:Univ.eq Univ identity (divide A A). ∀H1:∀A:Univ.∀B:Univ.eq Univ (inverse A) (divide (divide B B) A). ∀H2:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (multiply A B) (divide A (divide (divide C C) B)). -∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide A B) (divide (divide A C) B)) C.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1) +∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide A B) (divide (divide A C) B)) C.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1)) . -#Univ. -#A. -#B. -#C. -#a1. -#b1. -#divide. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a1 ##. +#b1 ##. +#divide ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; nqed. (* -------------------------------------------------------------------------- *)