X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FLCL135-1.ma;h=e4fb0659faf07a8956e5845fbe412bbc0fdaa174;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=fe981588fa53dda3b7ad0dc2eb6dfdabe9bec7a1;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/LCL135-1.ma b/helm/software/matita/contribs/ng_TPTP/LCL135-1.ma index fe981588f..e4fb0659f 100644 --- a/helm/software/matita/contribs/ng_TPTP/LCL135-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/LCL135-1.ma @@ -102,7 +102,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_wajsberg_lemma: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀implies:∀_:Univ.∀_:Univ.Univ. ∀not:∀_:Univ.Univ. ∀truth:Univ. @@ -111,22 +111,22 @@ ntheorem prove_wajsberg_lemma: ∀H0:∀X:Univ.∀Y:Univ.eq Univ (implies (implies (not X) (not Y)) (implies Y X)) truth. ∀H1:∀X:Univ.∀Y:Univ.eq Univ (implies (implies X Y) Y) (implies (implies Y X) X). ∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (implies (implies X Y) (implies (implies Y Z) (implies X Z))) truth. -∀H3:∀X:Univ.eq Univ (implies truth X) X.eq Univ (implies x (implies y x)) truth +∀H3:∀X:Univ.eq Univ (implies truth X) X.eq Univ (implies x (implies y x)) truth) . -#Univ. -#X. -#Y. -#Z. -#implies. -#not. -#truth. -#x. -#y. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#implies ##. +#not ##. +#truth ##. +#x ##. +#y ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; nqed. (* -------------------------------------------------------------------------- *)