]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/COL001-2.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / COL001-2.ma
index 949eed4f1e2bcfde505b2fa10f8f84c400f531bf..cd925359782942229bf12bd075c339139c0ec727 100644 (file)
@@ -48,7 +48,7 @@ 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.
@@ -60,29 +60,28 @@ ntheorem prove_fixed_point:
 ∀H1:∀X:Univ.eq Univ (apply i X) X.
 ∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).
 ∀H3:∀X:Univ.∀Y:Univ.eq Univ (apply (apply k X) Y) X.
-∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).∃Y:Univ.eq Univ Y (apply combinator Y)
+∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).∃Y:Univ.eq Univ Y (apply combinator Y))
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#apply.
-#b.
-#combinator.
-#i.
-#k.
-#s.
-#x.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-napply ex_intro[
-nid2:
-nauto by H0,H1,H2,H3,H4;
-nid|
-skip]
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#apply ##.
+#b ##.
+#combinator ##.
+#i ##.
+#k ##.
+#s ##.
+#x ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+napply (ex_intro ? ? ? ?) ##[
+##2:
+nauto by H0,H1,H2,H3,H4 ##;
+##| ##skip ##]
 nqed.
 
 (* -------------------------------------------------------------------------- *)