X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO002-2.ma;h=0b1f988d3cbf7a356be550f3b194924a2843ef5a;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=095229a2a6fa97301eeaffc8628be903ae0d70bd;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO002-2.ma b/helm/software/matita/contribs/ng_TPTP/BOO002-2.ma index 095229a2a..0b1f988d3 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO002-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO002-2.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO002-2 : TPTP v3.2.0. Released v1.1.0. *) +(* File : BOO002-2 : TPTP v3.7.0. Released v1.1.0. *) (* Domain : Boolean Algebra (Ternary) *) @@ -56,7 +56,7 @@ include "logic/equality.ma". (* [++equal(multiply(X,Y,inverse(Y)),X)]). *) ntheorem prove_equation: - ∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀inverse:∀_:Univ.Univ. @@ -65,24 +65,25 @@ ntheorem prove_equation: ∀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:∀X:Univ.∀Y:Univ.eq Univ (multiply Y X X) X. -∀H4:∀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 a (inverse a) b) b +∀H4:∀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 a (inverse a) b) b) . -#Univ. -#V. -#W. -#X. -#Y. -#Z. -#a. -#b. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -nauto by H0,H1,H2,H3,H4; +#Univ ##. +#V ##. +#W ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +nauto by H0,H1,H2,H3,H4 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)