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 N
1 com ω
2 c0
3 2 csn { ∅ }
4 1 3 cdif ( ω ∖ { ∅ } )
5 0 4 wceq N = ( ω ∖ { ∅ } )