Theorem 0nep0

Description: The empty set and its power set are not equal. (Contributed by NM, 23-Dec-1993)

	Ref	Expression
Assertion	0nep0	⊢ ∅ ≠ { ∅ }

Proof

Step	Hyp	Ref	Expression
1		0ex	⊢ ∅ ∈ V
2	1	snnz	⊢ { ∅ } ≠ ∅
3	2	necomi	⊢ ∅ ≠ { ∅ }