X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO018-4.ma;h=f22b4f4f347c6cd3eb59a1e3feeff634aed20499;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=9790abf56ee3ab1f8aa55f3ba62249971295494b;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO018-4.ma b/helm/software/matita/contribs/ng_TPTP/BOO018-4.ma index 9790abf56..f22b4f4f3 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO018-4.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO018-4.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO018-4 : TPTP v3.2.0. Bugfixed v1.2.1. *) +(* File : BOO018-4 : TPTP v3.7.0. Bugfixed v1.2.1. *) (* Domain : Boolean Algebra *) @@ -50,7 +50,7 @@ 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 *) @@ -70,7 +70,7 @@ 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) *) @@ -90,7 +90,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_inverse_of_1_is_0: - ∀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. @@ -103,26 +103,27 @@ ntheorem prove_inverse_of_1_is_0: ∀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 multiplicative_identity) additive_identity +∀H7:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (inverse multiplicative_identity) additive_identity) . -#Univ. -#X. -#Y. -#Z. -#add. -#additive_identity. -#inverse. -#multiplicative_identity. -#multiply. -#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 ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)