X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP522-1.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP522-1.ma;h=c6dbff14518debf7659f8db098a04745117db0d2;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=c7ad818a06e09618d5469f0dcc0169b7038d4c34;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP522-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP522-1.ma index c7ad818a0..c6dbff145 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP522-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP522-1.ma @@ -44,7 +44,7 @@ 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. ∀b2:Univ. ∀divide:∀_:Univ.∀_:Univ.Univ. @@ -52,21 +52,21 @@ ntheorem prove_these_axioms_2: ∀multiply:∀_:Univ.∀_:Univ.Univ. ∀H0:∀A:Univ.∀B:Univ.eq Univ (inverse A) (divide (divide B B) A). ∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (multiply A B) (divide A (divide (divide C C) B)). -∀H2:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide A (divide B (divide C (divide A B)))) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2 +∀H2:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide A (divide B (divide C (divide A B)))) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2) . -#Univ. -#A. -#B. -#C. -#a2. -#b2. -#divide. -#inverse. -#multiply. -#H0. -#H1. -#H2. -nauto by H0,H1,H2; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a2 ##. +#b2 ##. +#divide ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +nauto by H0,H1,H2 ##; nqed. (* -------------------------------------------------------------------------- *)