X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=inline;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG013-6.ma;h=9115cb2eceea4ddbe6d84f686da681562e231165;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=01cbc74c08ef44cf5f339d38264b6f2e8d850954;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG013-6.ma b/helm/software/matita/contribs/ng_TPTP/RNG013-6.ma index 01cbc74c0..9115cb2ec 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG013-6.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG013-6.ma @@ -110,7 +110,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_equation: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. @@ -133,36 +133,36 @@ ntheorem prove_equation: ∀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 (additive_inverse a) b) (additive_inverse (multiply a b)) +∀H14:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply (additive_inverse a) b) (additive_inverse (multiply a b))) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#additive_inverse. -#associator. -#b. -#commutator. -#multiply. -#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 ##. +#a ##. +#add ##. +#additive_identity ##. +#additive_inverse ##. +#associator ##. +#b ##. +#commutator ##. +#multiply ##. +#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. (* -------------------------------------------------------------------------- *)