Metamath Proof Explorer


Theorem onno

Description: A surreal ordinal is a surreal. (Contributed by Scott Fenton, 18-Mar-2025)

Ref Expression
Assertion onno ⊢ A ∈ On s → A ∈ No

Proof

Step Hyp Ref Expression
1 onssno ⊢ On s ⊆ No
2 1 sseli ⊢ A ∈ On s → A ∈ No