X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO029-1.ma;h=46a05fc4a9f27c0bdd098e6a1c190eaa6280a2e1;hb=395bcb2796cb9edcdb792579341c2271a8d1adaf;hp=0e04f92dcf73c0d6c83547452c26582e6a131c65;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO029-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO029-1.ma index 0e04f92dc..46a05fc4a 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO029-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO029-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO029-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : BOO029-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Boolean Algebra *) @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----Denial of conclusion: *) ntheorem prove_equal_inverse: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. @@ -69,28 +69,29 @@ ntheorem prove_equal_inverse: ∀H6:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y (add X Z))) X. ∀H7:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X Y) (add X (inverse Y))) X. ∀H8:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (add (multiply X Y) (multiply Y Z)) Y) Y. -∀H9:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X Z))) X.eq Univ (add b (inverse b)) (add a (inverse a)) +∀H9:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X Z))) X.eq Univ (add b (inverse b)) (add a (inverse a))) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#b. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#b ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)