X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FLCL154-1.ma;h=e916686629f373b68c2279f32d7fea38938b8795;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=4c1cb683971d4a459eed487927bca91089416a56;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/LCL154-1.ma b/helm/software/matita/contribs/ng_TPTP/LCL154-1.ma index 4c1cb6839..e91668662 100644 --- a/helm/software/matita/contribs/ng_TPTP/LCL154-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/LCL154-1.ma @@ -200,7 +200,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_alternative_wajsberg_axiom: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀myand:∀_:Univ.∀_:Univ.Univ. ∀and_star:∀_:Univ.∀_:Univ.Univ. ∀falsehood:Univ. @@ -225,38 +225,38 @@ ntheorem prove_alternative_wajsberg_axiom: ∀H12:∀X:Univ.∀Y:Univ.eq Univ (implies (implies (not X) (not Y)) (implies Y X)) truth. ∀H13:∀X:Univ.∀Y:Univ.eq Univ (implies (implies X Y) Y) (implies (implies Y X) X). ∀H14:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (implies (implies X Y) (implies (implies Y Z) (implies X Z))) truth. -∀H15:∀X:Univ.eq Univ (implies truth X) X.eq Univ (xor x falsehood) x +∀H15:∀X:Univ.eq Univ (implies truth X) X.eq Univ (xor x falsehood) x) . -#Univ. -#X. -#Y. -#Z. -#and. -#and_star. -#falsehood. -#implies. -#not. -#or. -#truth. -#x. -#xor. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -#H14. -#H15. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#and ##. +#and_star ##. +#falsehood ##. +#implies ##. +#not ##. +#or ##. +#truth ##. +#x ##. +#xor ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +#H14 ##. +#H15 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15 ##; nqed. (* -------------------------------------------------------------------------- *)