X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO012-4.ma;h=1d714037ee1b0f2f57d140ac364af137b65691a5;hb=0f13d14b63b012e0ea8ce0d0e71bf808fdd444eb;hp=43812ba77b1e20bfd7196efba3cb49ff18bb9003;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO012-4.ma b/helm/software/matita/contribs/ng_TPTP/BOO012-4.ma index 43812ba77..1d714037e 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO012-4.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO012-4.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO012-4 : TPTP v3.2.0. Released v1.1.0. *) +(* File : BOO012-4 : TPTP v3.7.0. Released v1.1.0. *) (* Domain : Boolean Algebra *) @@ -48,7 +48,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO004-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : BOO004-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Boolean Algebra *) @@ -68,7 +68,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 0 RR) *) -(* Number of literals : 8 ( 8 equality) *) +(* Number of atoms : 8 ( 8 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -88,7 +88,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_inverse_is_an_involution: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. ∀inverse:∀_:Univ.Univ. @@ -102,27 +102,28 @@ ntheorem prove_inverse_is_an_involution: ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply X Y) (multiply X Z)). ∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y Z)) (multiply (add X Y) (add X Z)). ∀H6:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y) (multiply Y X). -∀H7:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (inverse (inverse x)) x +∀H7:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (inverse (inverse x)) x) . -#Univ. -#X. -#Y. -#Z. -#add. -#additive_identity. -#inverse. -#multiplicative_identity. -#multiply. -#x. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -nauto by H0,H1,H2,H3,H4,H5,H6,H7; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#add ##. +#additive_identity ##. +#inverse ##. +#multiplicative_identity ##. +#multiply ##. +#x ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)