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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 7237 | . 2 class 0Q0 | |
2 | c0 3414 | . . . 4 class ∅ | |
3 | c1o 6385 | . . . 4 class 1o | |
4 | 2, 3 | cop 3584 | . . 3 class 〈∅, 1o〉 |
5 | ceq0 7235 | . . 3 class ~Q0 | |
6 | 4, 5 | cec 6507 | . 2 class [〈∅, 1o〉] ~Q0 |
7 | 1, 6 | wceq 1348 | 1 wff 0Q0 = [〈∅, 1o〉] ~Q0 |
Colors of variables: wff set class |
This definition is referenced by: nq0m0r 7405 nq0a0 7406 prarloclem5 7449 |
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