X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG025-9.ma;h=ec298bd81a896f384ba63e6ad9a3430309d55e8b;hb=bbf85ddcdfe0809fee0c6ca9812ce0da30c238af;hp=14474c2b2d7a8dde5f1902475cce01bf2cac9d9f;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG025-9.ma b/helm/software/matita/contribs/ng_TPTP/RNG025-9.ma index 14474c2b2..ec298bd81 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG025-9.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG025-9.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG025-9 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG025-9 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory (Alternative) *) @@ -84,7 +84,7 @@ 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. @@ -117,48 +117,49 @@ ntheorem prove_flexible_law: ∀H20:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y (additive_inverse Z))) (add (multiply X Y) (additive_inverse (multiply X Z))). ∀H21:∀X:Univ.∀Y:Univ.eq Univ (multiply X (additive_inverse Y)) (additive_inverse (multiply X Y)). ∀H22:∀X:Univ.∀Y:Univ.eq Univ (multiply (additive_inverse X) Y) (additive_inverse (multiply X Y)). -∀H23:∀X:Univ.∀Y:Univ.eq Univ (multiply (additive_inverse X) (additive_inverse Y)) (multiply X Y).eq Univ (add (associator a b c) (associator a c b)) additive_identity +∀H23:∀X:Univ.∀Y:Univ.eq Univ (multiply (additive_inverse X) (additive_inverse Y)) (multiply X Y).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. -#H17. -#H18. -#H19. -#H20. -#H21. -#H22. -#H23. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17,H18,H19,H20,H21,H22,H23; +#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 ##. +#H17 ##. +#H18 ##. +#H19 ##. +#H20 ##. +#H21 ##. +#H22 ##. +#H23 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17,H18,H19,H20,H21,H22,H23 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)