X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL004-3.ma;h=b7674b26b85cafefea852b506f63316d39612323;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=267efd5f865789207e13455c33b3aa29fb05d3b4;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL004-3.ma b/helm/software/matita/contribs/ng_TPTP/COL004-3.ma index 267efd5f8..b7674b26b 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL004-3.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL004-3.ma @@ -50,27 +50,27 @@ include "logic/equality.ma". (* ----This is the U equivalent *) ntheorem prove_u_combinator: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀k:Univ. ∀s:Univ. ∀x:Univ. ∀y:Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (apply (apply k X) Y) X. -∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).eq Univ (apply (apply (apply (apply s (apply k (apply s (apply (apply s k) k)))) (apply (apply s (apply (apply s k) k)) (apply (apply s k) k))) x) y) (apply y (apply (apply x x) y)) +∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).eq Univ (apply (apply (apply (apply s (apply k (apply s (apply (apply s k) k)))) (apply (apply s (apply (apply s k) k)) (apply (apply s k) k))) x) y) (apply y (apply (apply x x) y))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#k. -#s. -#x. -#y. -#H0. -#H1. -nauto by H0,H1; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#k ##. +#s ##. +#x ##. +#y ##. +#H0 ##. +#H1 ##. +nauto by H0,H1 ##; nqed. (* -------------------------------------------------------------------------- *)