Metamath Proof Explorer


Theorem nnon

Description: A natural number is an ordinal number. (Contributed by NM, 27-Jun-1994)

Ref Expression
Assertion nnon ⊢ A ∈ ω → A ∈ On

Proof

Step Hyp Ref Expression
1 omsson ⊢ ω ⊆ On
2 1 sseli ⊢ A ∈ ω → A ∈ On