| Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > ILE Home > Th. List > df-0nq0 | GIF version | ||
| Description: Define nonnegative fraction constant 0. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. (Contributed by Jim Kingdon, 5-Nov-2019.) |
| Ref | Expression |
|---|---|
| df-0nq0 | ⊢ 0Q0 = [〈∅, 1o〉] ~Q0 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c0q0 7355 | . 2 class 0Q0 | |
| 2 | c0 3450 | . . . 4 class ∅ | |
| 3 | c1o 6467 | . . . 4 class 1o | |
| 4 | 2, 3 | cop 3625 | . . 3 class 〈∅, 1o〉 |
| 5 | ceq0 7353 | . . 3 class ~Q0 | |
| 6 | 4, 5 | cec 6590 | . 2 class [〈∅, 1o〉] ~Q0 |
| 7 | 1, 6 | wceq 1364 | 1 wff 0Q0 = [〈∅, 1o〉] ~Q0 |
| Colors of variables: wff set class |
| This definition is referenced by: nq0m0r 7523 nq0a0 7524 prarloclem5 7567 |
| Copyright terms: Public domain | W3C validator |