Metamath Proof Explorer


Theorem 1on

Description: Ordinal 1 is an ordinal number. (Contributed by NM, 29-Oct-1995)

Ref Expression
Assertion 1on 1o ∈ On

Proof

Step Hyp Ref Expression
1 df-1o 1o = suc ∅
2 0elon ∅ ∈ On
3 2 onsuci suc ∅ ∈ On
4 1 3 eqeltri 1o ∈ On