Metamath Proof Explorer


Theorem 8on

Description: Ordinal 8 is an ordinal number. (Contributed by BTernaryTau, 4-Sep-2026)

Ref Expression
Assertion 8on 8o ∈ On

Proof

Step Hyp Ref Expression
1 df-8o ⊢ 8o = suc 7o
2 7on ⊢ 7o ∈ On
3 2 onsuci ⊢ suc 7o ∈ On
4 1 3 eqeltri ⊢ 8o ∈ On