Theorem qsex

Description: A quotient set exists. (Contributed by NM, 14-Aug-1995)

	Ref	Expression
Hypothesis	qsex.1	⊢ 𝐴 ∈ V
Assertion	qsex	⊢ ( 𝐴 / 𝑅 ) ∈ V

Proof

Step	Hyp	Ref	Expression
1		qsex.1	⊢ 𝐴 ∈ V
2		qsexg	⊢ ( 𝐴 ∈ V → ( 𝐴 / 𝑅 ) ∈ V )
3	1 2	ax-mp	⊢ ( 𝐴 / 𝑅 ) ∈ V