Theorem snnz

Description: The singleton of a set is not empty. (Contributed by NM, 10-Apr-1994)

	Ref	Expression
Hypothesis	snnz.1	⊢ 𝐴 ∈ V
Assertion	snnz	⊢ { 𝐴 } ≠ ∅

Proof

Step	Hyp	Ref	Expression
1		snnz.1	⊢ 𝐴 ∈ V
2		snnzg	⊢ ( 𝐴 ∈ V → { 𝐴 } ≠ ∅ )
3	1 2	ax-mp	⊢ { 𝐴 } ≠ ∅