Metamath Proof Explorer


Theorem 6on

Description: Ordinal 6 is an ordinal number. (Contributed by BTernaryTau, 4-Sep-2026)

Ref Expression
Assertion 6on 6o ∈ On

Proof

Step Hyp Ref Expression
1 df-6o 6o = suc 5o
2 5on 5o ∈ On
3 2 onsuci suc 5o ∈ On
4 1 3 eqeltri 6o ∈ On