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ntheorem prove_these_axioms_4:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
∀a:Univ.
∀b:Univ.
∀double_divide:∀_:Univ.∀_:Univ.Univ.
∀inverse:∀_:Univ.Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
∀H0:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (inverse (double_divide B A)).
-∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (double_divide (double_divide A B) (inverse (double_divide A (inverse (double_divide (inverse C) B))))) C.eq Univ (multiply a b) (multiply b a)
+∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (double_divide (double_divide A B) (inverse (double_divide A (inverse (double_divide (inverse C) B))))) C.eq Univ (multiply a b) (multiply b a))
.
-#Univ.
-#A.
-#B.
-#C.
-#a.
-#b.
-#double_divide.
-#inverse.
-#multiply.
-#H0.
-#H1.
-nauto by H0,H1;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#a ##.
+#b ##.
+#double_divide ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+nauto by H0,H1 ##;
nqed.
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