Metamath Proof Explorer


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