Metamath Proof Explorer


Theorem qsex

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

Ref Expression
Hypothesis qsex.1
|- A e. _V
Assertion qsex
|- ( A /. R ) e. _V

Proof

Step Hyp Ref Expression
1 qsex.1
 |-  A e. _V
2 qsexg
 |-  ( A e. _V -> ( A /. R ) e. _V )
3 1 2 ax-mp
 |-  ( A /. R ) e. _V