![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > df-1 | Structured version Visualization version GIF version |
Description: Define the complex number 1. (Contributed by NM, 22-Feb-1996.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-1 | ⊢ 1 = ⟨1R, 0R⟩ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c1 11134 | . 2 class 1 | |
2 | c1r 10885 | . . 3 class 1R | |
3 | c0r 10884 | . . 3 class 0R | |
4 | 2, 3 | cop 4631 | . 2 class ⟨1R, 0R⟩ |
5 | 1, 4 | wceq 1534 | 1 wff 1 = ⟨1R, 0R⟩ |
Colors of variables: wff setvar class |
This definition is referenced by: ax1cn 11167 axi2m1 11177 ax1ne0 11178 ax1rid 11179 axrrecex 11181 |
Copyright terms: Public domain | W3C validator |