Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Union
Ordinal arithmetic
1oelpr
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2oex
Metamath Proof Explorer
Ascii
Structured
Theorem
1oelpr
Description:
1o
is an element of
{ (/) , 1o }
.
(Contributed by
Umit Teoman Dogan
, 10-Jun-2026)
Ref
Expression
Assertion
1oelpr
⊢
1
o
∈ { ∅ , 1
o
}
Proof
Step
Hyp
Ref
Expression
1
1oex
⊢
1
o
∈ V
2
1
prid2
⊢
1
o
∈ { ∅ , 1
o
}