Metamath Proof Explorer


Theorem 5on

Description: Ordinal 5 is an ordinal number. (Contributed by BTernaryTau, 4-Sep-2026)

Ref Expression
Assertion 5on 5o ∈ On

Proof

Step Hyp Ref Expression
1 df-5o 5o = suc 4o
2 4on 4o ∈ On
3 2 onsuci suc 4o ∈ On
4 1 3 eqeltri 5o ∈ On