Metamath Proof Explorer


Theorem leftno

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

Ref Expression
Assertion leftno ⊢ A ∈ L ⁡ B → A ∈ No

Proof

Step Hyp Ref Expression
1 leftssno ⊢ L ⁡ B ⊆ No
2 1 sseli ⊢ A ∈ L ⁡ B → A ∈ No