Metamath Proof Explorer


Definition df-1o

Description: Define the ordinal number 1. Definition 2.1 of Schloeder p. 4. (Contributed by NM, 29-Oct-1995)

Ref Expression
Assertion df-1o ⊢ 1 𝑜 = suc ⁡ ∅

Detailed syntax breakdown

Step Hyp Ref Expression
0 c1o class 1 𝑜
1 c0 class ∅
2 1 csuc class suc ⁡ ∅
3 0 2 wceq wff 1 𝑜 = suc ⁡ ∅