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| Mirrors > Home > ILE Home > Th. List > df-ni | GIF version | ||
| Description: Define the class of positive integers. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. (Contributed by NM, 15-Aug-1995.) |
| Ref | Expression |
|---|---|
| df-ni | ⊢ N = (ω ∖ {∅}) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cnpi 7485 | . 2 class N | |
| 2 | com 4686 | . . 3 class ω | |
| 3 | c0 3492 | . . . 4 class ∅ | |
| 4 | 3 | csn 3667 | . . 3 class {∅} |
| 5 | 2, 4 | cdif 3195 | . 2 class (ω ∖ {∅}) |
| 6 | 1, 5 | wceq 1395 | 1 wff N = (ω ∖ {∅}) |
| Colors of variables: wff set class |
| This definition is referenced by: elni 7521 pinn 7522 niex 7525 dmaddpi 7538 dmmulpi 7539 |
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