X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO030-1.ma;h=010d133964cf335c26a24975abc512855157509c;hb=ce3886fa05ff0a2fbd4d7b6cf68225d90686eafe;hp=3aee92bf95bae40bcae773dc8f478c9f284b2826;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO030-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO030-1.ma index 3aee92bf9..010d13396 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO030-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO030-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO030-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : BOO030-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Boolean Algebra *) @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----Denial of a property of Boolean Algebra. *) ntheorem prove_inverse_involution: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀inverse:∀_:Univ.Univ. @@ -64,23 +64,24 @@ ntheorem prove_inverse_involution: ∀H2:∀X:Univ.∀Y:Univ.eq Univ (multiply (add (multiply X Y) X) (add X Y)) X. ∀H3:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X Y) (add X (inverse Y))) X. ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (add (multiply X Y) (multiply Y Z)) Y) Y. -∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X Z))) X.eq Univ (inverse (inverse a)) a +∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X Z))) X.eq Univ (inverse (inverse a)) a) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -nauto by H0,H1,H2,H3,H4,H5; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +nauto by H0,H1,H2,H3,H4,H5 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)