X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL022-1.ma;h=b7d5d89424f535ecdd1dc1a5d13e1448718d8878;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=ce9b20741218e6addfbf7b925c49734dd36362a2;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL022-1.ma b/helm/software/matita/contribs/ng_TPTP/COL022-1.ma index ce9b20741..b7d5d8942 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL022-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL022-1.ma @@ -52,7 +52,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_fixed_point: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. ∀combinator:Univ. @@ -60,25 +60,24 @@ ntheorem prove_fixed_point: ∀o:Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (apply (apply o X) Y) (apply Y (apply X Y)). ∀H1:∀X:Univ.eq Univ (apply m X) (apply X X). -∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).∃Y:Univ.eq Univ Y (apply combinator Y) +∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).∃Y:Univ.eq Univ Y (apply combinator Y)) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#combinator. -#m. -#o. -#H0. -#H1. -#H2. -napply ex_intro[ -nid2: -nauto by H0,H1,H2; -nid| -skip] +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#combinator ##. +#m ##. +#o ##. +#H0 ##. +#H1 ##. +#H2 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1,H2 ##; +##| ##skip ##] nqed. (* -------------------------------------------------------------------------- *)