X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP564-1.ma;h=6bfde9b046b602dba95c454cbd0e54b32a816ac3;hb=f6c887944d48d718f372a57f1609f3d059908aa8;hp=83cfba55354d08e20ae9d0e561475649ea360a5a;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP564-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP564-1.ma index 83cfba553..6bfde9b04 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP564-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP564-1.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 (divide (divide A (inverse B)) C) (divide A C)) B.eq Univ (multiply a b) (multiply b a) +∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide (divide A (inverse 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. (* -------------------------------------------------------------------------- *)