X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL066-3.ma;h=c012ed78e753a044758403f264251f45468c639a;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=f8bed5745ca04c8dd78ab3b4ca1ef149b4b815d6;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL066-3.ma b/helm/software/matita/contribs/ng_TPTP/COL066-3.ma index f8bed5745..c012ed78e 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL066-3.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL066-3.ma @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----This is the P equivalent *) ntheorem prove_p_combinator: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. ∀q:Univ. @@ -64,23 +64,23 @@ ntheorem prove_p_combinator: ∀z: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 q X) Y) Z) (apply Y (apply X Z)). -∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).eq Univ (apply (apply (apply (apply (apply (apply b (apply w (apply q (apply q q)))) q) x) y) y) z) (apply (apply x y) (apply (apply x y) z)) +∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).eq Univ (apply (apply (apply (apply (apply (apply b (apply w (apply q (apply q q)))) q) x) y) y) z) (apply (apply x y) (apply (apply x y) z))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#q. -#w. -#x. -#y. -#z. -#H0. -#H1. -#H2. -nauto by H0,H1,H2; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#q ##. +#w ##. +#x ##. +#y ##. +#z ##. +#H0 ##. +#H1 ##. +#H2 ##. +nauto by H0,H1,H2 ##; nqed. (* -------------------------------------------------------------------------- *)