(* ----Denial of the conclusion: *)
ntheorem prove_absorbtion_dual:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀join:∀_:Univ.∀_:Univ.Univ.
∀meet:∀_:Univ.∀_:Univ.Univ.
∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (meet X (join Y Z)) (join (meet Z X) (meet Y X)).
-∀H1:∀X:Univ.∀Y:Univ.eq Univ (meet X (join X Y)) X.eq Univ (join a (meet a b)) a
+∀H1:∀X:Univ.∀Y:Univ.eq Univ (meet X (join X Y)) X.eq Univ (join a (meet a b)) a)
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#join.
-#meet.
-#H0.
-#H1.
-nauto by H0,H1;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#join ##.
+#meet ##.
+#H0 ##.
+#H1 ##.
+nauto by H0,H1 ##;
nqed.
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