Metamath Proof Explorer


Theorem newno

Description: An element of a new set is a surreal. (Contributed by Scott Fenton, 27-Feb-2026)

Ref Expression
Assertion newno ⊢ A ∈ N ⁡ B → A ∈ No

Proof

Step Hyp Ref Expression
1 newssno ⊢ N ⁡ B ⊆ No
2 1 sseli ⊢ A ∈ N ⁡ B → A ∈ No