| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > df-ni | Structured version Visualization version Unicode version | ||
| Description: Define the class of positive integers. This is a "temporary" set used in the construction of complex numbers df-c 9942, and is intended to be used only by the construction. (Contributed by NM, 15-Aug-1995.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-ni |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cnpi 9666 |
. 2
| |
| 2 | com 7065 |
. . 3
| |
| 3 | c0 3915 |
. . . 4
| |
| 4 | 3 | csn 4177 |
. . 3
|
| 5 | 2, 4 | cdif 3571 |
. 2
|
| 6 | 1, 5 | wceq 1483 |
1
|
| Colors of variables: wff setvar class |
| This definition is referenced by: elni 9698 pinn 9700 niex 9703 ltsopi 9710 dmaddpi 9712 dmmulpi 9713 wuncn 9991 |
| Copyright terms: Public domain | W3C validator |