X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG018-6.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG018-6.ma;h=d4d23ee7e64072eeed479dcdc498feab19fe8195;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=ee1d8d0e3887a9e2a0b8447e9df8eac3eaf9f6f8;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG018-6.ma b/helm/software/matita/contribs/ng_TPTP/RNG018-6.ma index ee1d8d0e3..d4d23ee7e 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG018-6.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG018-6.ma @@ -110,7 +110,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_distributivity: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. ∀additive_inverse:∀_:Univ.Univ. @@ -134,37 +134,37 @@ ntheorem prove_distributivity: ∀H11:∀X:Univ.eq Univ (multiply X additive_identity) additive_identity. ∀H12:∀X:Univ.eq Univ (multiply additive_identity X) additive_identity. ∀H13:∀X:Univ.eq Univ (add X additive_identity) X. -∀H14:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply (add x y) (additive_inverse z)) (add (additive_inverse (multiply x z)) (additive_inverse (multiply y z))) +∀H14:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply (add x y) (additive_inverse z)) (add (additive_inverse (multiply x z)) (additive_inverse (multiply y z)))) . -#Univ. -#X. -#Y. -#Z. -#add. -#additive_identity. -#additive_inverse. -#associator. -#commutator. -#multiply. -#x. -#y. -#z. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -#H14. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#add ##. +#additive_identity ##. +#additive_inverse ##. +#associator ##. +#commutator ##. +#multiply ##. +#x ##. +#y ##. +#z ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +#H14 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14 ##; nqed. (* -------------------------------------------------------------------------- *)