Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Union
Equinumerosity
relen
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Metamath Proof Explorer
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Theorem
relen
Description:
Equinumerosity is a relation.
(Contributed by
NM
, 28-Mar-1998)
Ref
Expression
Assertion
relen
⊢
Rel
⁡
≈
Proof
Step
Hyp
Ref
Expression
1
df-en
⊢
≈
=
x
y
|
∃
f
f
:
x
⟶
1-1 onto
y
2
1
relopabiv
⊢
Rel
⁡
≈