Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 6370 | . 2 class N | |
2 | com 4313 | . . 3 class ω | |
3 | c0 3224 | . . . 4 class ∅ | |
4 | 3 | csn 3375 | . . 3 class {∅} |
5 | 2, 4 | cdif 2914 | . 2 class (ω ∖ {∅}) |
6 | 1, 5 | wceq 1243 | 1 wff N = (ω ∖ {∅}) |
Colors of variables: wff set class |
This definition is referenced by: elni 6406 pinn 6407 niex 6410 dmaddpi 6423 dmmulpi 6424 |
Copyright terms: Public domain | W3C validator |