X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FLCL137-1.ma;h=7d76856088939164743aa48d65b3099cf6568248;hb=b254cc57f5e082712f3ec6be9295eec0062b8d47;hp=444b18427ba15410bff570a9693b98ca2b192837;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/LCL137-1.ma b/helm/software/matita/contribs/ng_TPTP/LCL137-1.ma index 444b18427..7d7685608 100644 --- a/helm/software/matita/contribs/ng_TPTP/LCL137-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/LCL137-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : LCL137-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : LCL137-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Logic Calculi (Wajsberg Algebra) *) @@ -56,7 +56,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : LCL001-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : LCL001-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Logic Calculi (Wajsberg Algebras) *) @@ -80,7 +80,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 4 ( 0 non-Horn; 4 unit; 0 RR) *) -(* Number of literals : 4 ( 4 equality) *) +(* Number of atoms : 4 ( 4 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -100,7 +100,7 @@ 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. @@ -110,23 +110,24 @@ 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 (implies (implies x y) y) (implies (implies y z) (implies x z))) truth +∀H3:∀X:Univ.eq Univ (implies truth X) X.eq Univ (implies (implies (implies x y) y) (implies (implies y z) (implies x z))) truth) . -#Univ. -#X. -#Y. -#Z. -#implies. -#not. -#truth. -#x. -#y. -#z. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#implies ##. +#not ##. +#truth ##. +#x ##. +#y ##. +#z ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)