X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL003-1.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL003-1.ma;h=e760015ee624e9ca6937e6247d71bb14c28a7b49;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=1de3e308745eff47869a702dd9e4347e241a17a8;hpb=c40f28fe5bfa74fc1fcef986c03fc960793902a5;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL003-1.ma b/helm/software/matita/contribs/ng_TPTP/COL003-1.ma index 1de3e3087..e760015ee 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL003-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL003-1.ma @@ -82,29 +82,28 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_strong_fixed_point: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. ∀f:∀_:Univ.Univ. ∀w:Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (apply (apply w X) Y) (apply (apply X Y) Y). -∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).∃Y:Univ.eq Univ (apply Y (f Y)) (apply (f Y) (apply Y (f Y))) +∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).∃Y:Univ.eq Univ (apply Y (f Y)) (apply (f Y) (apply Y (f Y)))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#f. -#w. -#H0. -#H1. -napply ex_intro[ -nid2: -nauto by H0,H1; -nid| -skip] +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#f ##. +#w ##. +#H0 ##. +#H1 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1 ##; +##| ##skip ##] nqed. (* -------------------------------------------------------------------------- *)