Definition df-nns 28323

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

Assertion

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

Detailed syntax breakdown of Definition df-nns

Step	Hyp	Ref	Expression
1		cnns 28321	. 2 class ℕs
2		cn0s 28320	. . 3 class ℕ0s
3		c0s 27813	. . . 4 class 0s
4	3	csn 4582	. . 3 class { 0s }
5	2, 4	cdif 3900	. 2 class (ℕ0s ∖ { 0s })
6	1, 5	wceq 1542	1 wff ℕs = (ℕ0s ∖ { 0s })

This definition is referenced by:  nnsex  28326  nnssn0s  28329  nnne0s  28345  elnns  28348  1nns  28357