]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/LCL162-1.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / LCL162-1.ma
index b1d9a7a8244db06cda1142587e3ac87b2321fd26..9959c93fecda76d6efe55e27abbf70876397bcf0 100644 (file)
@@ -108,7 +108,7 @@ include "logic/equality.ma".
 
 (* ----Include the definition of implies in terms of xor and and_star  *)
 ntheorem prove_wajsberg_axiom:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
(∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀and_star:∀_:Univ.∀_:Univ.Univ.
 ∀falsehood:Univ.
 ∀implies:∀_:Univ.∀_:Univ.Univ.
@@ -130,35 +130,35 @@ ntheorem prove_wajsberg_axiom:
 ∀H9:∀X:Univ.eq Univ (and_star X truth) X.
 ∀H10:∀X:Univ.eq Univ (xor X X) falsehood.
 ∀H11:∀X:Univ.eq Univ (xor X falsehood) X.
-∀H12:∀X:Univ.eq Univ (not X) (xor X truth).eq Univ (implies (implies x y) (implies (implies y z) (implies x z))) truth
+∀H12:∀X:Univ.eq Univ (not X) (xor X truth).eq Univ (implies (implies x y) (implies (implies y z) (implies x z))) truth)
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#and_star.
-#falsehood.
-#implies.
-#not.
-#truth.
-#x.
-#xor.
-#y.
-#z.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-#H8.
-#H9.
-#H10.
-#H11.
-#H12.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#and_star ##.
+#falsehood ##.
+#implies ##.
+#not ##.
+#truth ##.
+#x ##.
+#xor ##.
+#y ##.
+#z ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+#H8 ##.
+#H9 ##.
+#H10 ##.
+#H11 ##.
+#H12 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)