(* -------------------------------------------------------------------------- *)
ntheorem prove_normal_axioms_4:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.∀G:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.∀G:Univ.
∀a:Univ.
∀join:∀_:Univ.∀_:Univ.Univ.
∀meet:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.∀G:Univ.eq Univ (join (meet (join (meet A B) (meet B (join A B))) C) (meet (join (meet A (join (join (meet D B) (meet B E)) B)) (meet (join (meet B (meet (meet (join D (join B E)) (join F B)) B)) (meet G (join B (meet (meet (join D (join B E)) (join F B)) B)))) (join A (join (join (meet D B) (meet B E)) B)))) (join (join (meet A B) (meet B (join A B))) C))) B.eq Univ (join a a) a
+∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.∀G:Univ.eq Univ (join (meet (join (meet A B) (meet B (join A B))) C) (meet (join (meet A (join (join (meet D B) (meet B E)) B)) (meet (join (meet B (meet (meet (join D (join B E)) (join F B)) B)) (meet G (join B (meet (meet (join D (join B E)) (join F B)) B)))) (join A (join (join (meet D B) (meet B E)) B)))) (join (join (meet A B) (meet B (join A B))) C))) B.eq Univ (join a a) a)
.
-#Univ.
-#A.
-#B.
-#C.
-#D.
-#E.
-#F.
-#G.
-#a.
-#join.
-#meet.
-#H0.
-nauto by H0;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#D ##.
+#E ##.
+#F ##.
+#G ##.
+#a ##.
+#join ##.
+#meet ##.
+#H0 ##.
+nauto by H0 ##;
nqed.
(* -------------------------------------------------------------------------- *)