(* -------------------------------------------------------------------------- *)
ntheorem prove_normal_axioms_1:
(* -------------------------------------------------------------------------- *)
ntheorem prove_normal_axioms_1:
∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (meet (meet (join A B) (join C A)) A) A.
∀H2:∀A:Univ.∀B:Univ.eq Univ (join (meet A B) (meet B (join A B))) B.
∀H3:∀A:Univ.∀B:Univ.eq Univ (join (meet A A) (meet B (join A A))) A.
∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (meet (meet (join A B) (join C A)) A) A.
∀H2:∀A:Univ.∀B:Univ.eq Univ (join (meet A B) (meet B (join A B))) B.
∀H3:∀A:Univ.∀B:Univ.eq Univ (join (meet A A) (meet B (join A A))) A.
-#Univ.
-#A.
-#B.
-#C.
-#a.
-#join.
-#meet.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-nauto by H0,H1,H2,H3,H4;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#a ##.
+#join ##.
+#meet ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+nauto by H0,H1,H2,H3,H4 ##;