Metamath Proof Explorer


Theorem nnssno

Description: The positive surreal integers are a subset of the surreals. (Contributed by Scott Fenton, 17-Mar-2025)

Ref Expression
Assertion nnssno ℕs ⊆ No

Proof

Step Hyp Ref Expression
1 nnssn0s ⊢ ℕs ⊆ ℕ0s
2 n0ssno ⊢ ℕ0s ⊆ No
3 1 2 sstri ⊢ ℕs ⊆ No