X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG025-8.ma;h=e0fbfd4ea64739dc7a7bce657f5baf699522b201;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=d8ff521a213caf2b72f80632533b5187ace12c62;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG025-8.ma b/helm/software/matita/contribs/ng_TPTP/RNG025-8.ma index d8ff521a2..e0fbfd4ea 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG025-8.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG025-8.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG025-8 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG025-8 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory (Alternative) *) @@ -82,7 +82,7 @@ include "logic/equality.ma". (* ----Commutator *) ntheorem prove_flexible_law: - ∀Univ:Type.∀U:Univ.∀V:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀U:Univ.∀V:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. @@ -108,41 +108,42 @@ ntheorem prove_flexible_law: ∀H13:∀X:Univ.eq Univ (add X additive_identity) X. ∀H14:∀X:Univ.eq Univ (add additive_identity X) X. ∀H15:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (add Y Z)) (add (add X Y) Z). -∀H16:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (add (associator a b c) (associator a c b)) additive_identity +∀H16:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (add (associator a b c) (associator a c b)) additive_identity) . -#Univ. -#U. -#V. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#additive_inverse. -#associator. -#b. -#c. -#commutator. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -#H14. -#H15. -#H16. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16; +#Univ ##. +#U ##. +#V ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#additive_inverse ##. +#associator ##. +#b ##. +#c ##. +#commutator ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +#H14 ##. +#H15 ##. +#H16 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)