Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Union
Ordinal arithmetic
2oex
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2on0
Metamath Proof Explorer
Ascii
Structured
Theorem
2oex
Description:
2o
is a set.
(Contributed by
BJ
, 6-Apr-2019)
Ref
Expression
Assertion
2oex
⊢
2
o
∈ V
Proof
Step
Hyp
Ref
Expression
1
df-2o
⊢
2
o
= suc 1
o
2
1oex
⊢
1
o
∈ V
3
2
sucex
⊢
suc 1
o
∈ V
4
1
3
eqeltri
⊢
2
o
∈ V