Metamath Proof Explorer


Theorem 4finon

Description: 4 is a finite ordinal. See 1onn . (Contributed by RP, 27-Sep-2023)

Ref Expression
Assertion 4finon 4o ∈ ( On ∩ Fin )

Proof

Step Hyp Ref Expression
1 4onn 4o ∈ ω
2 onfin2 ω = ( On ∩ Fin )
3 1 2 eleqtri 4o ∈ ( On ∩ Fin )