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SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for Richard Penner
Short Studies
3finon
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4finon
Metamath Proof Explorer
Ascii
Structured
Theorem
3finon
Description:
3 is a finite ordinal. See
1onn
.
(Contributed by
RP
, 27-Sep-2023)
Ref
Expression
Assertion
3finon
⊢
3
o
∈ ( On ∩ Fin )
Proof
Step
Hyp
Ref
Expression
1
3onn
⊢
3
o
∈ ω
2
onfin2
⊢
ω = ( On ∩ Fin )
3
1
2
eleqtri
⊢
3
o
∈ ( On ∩ Fin )