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| Mirrors > Home > MPE Home > Th. List > df-ni | Structured version Visualization version GIF version | ||
| Description: Define the class of positive integers. This is a "temporary" set used in the construction of complex numbers df-c 11105, and is intended to be used only by the construction. (Contributed by NM, 15-Aug-1995.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-ni | ⊢ N = (ω ∖ {∅}) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cnpi 10828 | . 2 class N | |
| 2 | com 7861 | . . 3 class ω | |
| 3 | c0 4285 | . . . 4 class ∅ | |
| 4 | 3 | csn 4588 | . . 3 class {∅} |
| 5 | 2, 4 | cdif 3901 | . 2 class (ω ∖ {∅}) |
| 6 | 1, 5 | wceq 1568 | 1 wff N = (ω ∖ {∅}) |
| Colors of variables: wff setvar class |
| This definition is referenced by: elni 10860 pinn 10862 niex 10865 ltsopi 10872 dmaddpi 10874 dmmulpi 10875 wuncn 11154 |
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