Metamath Proof Explorer


Definition df-ni

Description: Define the class of positive integers. This is a "temporary" set used in the construction of complex numbers df-c , and is intended to be used only by the construction. (Contributed by NM, 15-Aug-1995) (New usage is discouraged.)

Ref Expression
Assertion df-ni 𝑵 = ω

Detailed syntax breakdown

Step Hyp Ref Expression
0 cnpi class 𝑵
1 com class ω
2 c0 class
3 2 csn class
4 1 3 cdif class ω
5 0 4 wceq wff 𝑵 = ω