X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO019-1.ma;h=00876071f8f63e8af5062bad876a52c69154735a;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=c8e61c4c47dd92a1ec18a54906e9013b858eec84;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO019-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO019-1.ma index c8e61c4c4..00876071f 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO019-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO019-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO019-1 : TPTP v3.2.0. Released v1.2.0. *) +(* File : BOO019-1 : TPTP v3.7.0. Released v1.2.0. *) (* Domain : Boolean Algebra (Ternary) *) @@ -50,7 +50,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_ternary_multiply_1_independant: - ∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.∀_:Univ.Univ. ∀x:Univ. @@ -58,23 +58,24 @@ ntheorem prove_ternary_multiply_1_independant: ∀H0:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y (inverse Y)) X. ∀H1:∀X:Univ.∀Y:Univ.eq Univ (multiply (inverse Y) Y X) X. ∀H2:∀X:Univ.∀Y:Univ.eq Univ (multiply X X Y) X. -∀H3:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply y x x) x +∀H3:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply y x x) x) . -#Univ. -#V. -#W. -#X. -#Y. -#Z. -#inverse. -#multiply. -#x. -#y. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#V ##. +#W ##. +#X ##. +#Y ##. +#Z ##. +#inverse ##. +#multiply ##. +#x ##. +#y ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)