Metamath Proof Explorer


Definition df-nns

Description: Define the set of positive surreal integers. (Contributed by Scott Fenton, 17-Mar-2025)

Ref Expression
Assertion df-nns ℕs = ( ℕ0s ∖ { 0s } )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cnns ⊢ ℕs
1 cn0s ⊢ ℕ0s
2 c0s ⊢ 0s
3 2 csn ⊢ { 0s }
4 1 3 cdif ⊢ ( ℕ0s ∖ { 0s } )
5 0 4 wceq ⊢ ℕs = ( ℕ0s ∖ { 0s } )