Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Union
Equivalence relations and classes
qsex
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uniqs
Metamath Proof Explorer
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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