Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Union
Equinumerosity
relen
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Metamath Proof Explorer
Ascii
Structured
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 ≈