X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FLCL163-1.ma;h=03ab41df7370bb6b6634d7dbc7efe3611281ccc8;hb=f6c887944d48d718f372a57f1609f3d059908aa8;hp=ce259e5d1f287c265fc72b516ce2ee85b2a1977d;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/LCL163-1.ma b/helm/software/matita/contribs/ng_TPTP/LCL163-1.ma index ce259e5d1..03ab41df7 100644 --- a/helm/software/matita/contribs/ng_TPTP/LCL163-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/LCL163-1.ma @@ -108,7 +108,7 @@ include "logic/equality.ma". (* ----Include the definition of implies in terms of xor and and_star *) ntheorem prove_wajsberg_axiom: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀and_star:∀_:Univ.∀_:Univ.Univ. ∀falsehood:Univ. ∀implies:∀_:Univ.∀_:Univ.Univ. @@ -129,34 +129,34 @@ ntheorem prove_wajsberg_axiom: ∀H9:∀X:Univ.eq Univ (and_star X truth) X. ∀H10:∀X:Univ.eq Univ (xor X X) falsehood. ∀H11:∀X:Univ.eq Univ (xor X falsehood) X. -∀H12:∀X:Univ.eq Univ (not X) (xor X truth).eq Univ (implies (implies x y) y) (implies (implies y x) x) +∀H12:∀X:Univ.eq Univ (not X) (xor X truth).eq Univ (implies (implies x y) y) (implies (implies y x) x)) . -#Univ. -#X. -#Y. -#Z. -#and_star. -#falsehood. -#implies. -#not. -#truth. -#x. -#xor. -#y. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#and_star ##. +#falsehood ##. +#implies ##. +#not ##. +#truth ##. +#x ##. +#xor ##. +#y ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12 ##; nqed. (* -------------------------------------------------------------------------- *)