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Mirrors > Home > ILE Home > Th. List > df-0r | GIF version |
Description: Define signed real constant 0. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. From Proposition 9-4.2 of [Gleason] p. 126. (Contributed by NM, 9-Aug-1995.) |
Ref | Expression |
---|---|
df-0r | ⊢ 0R = [〈1P, 1P〉] ~R |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c0r 7218 | . 2 class 0R | |
2 | c1p 7212 | . . . 4 class 1P | |
3 | 2, 2 | cop 3563 | . . 3 class 〈1P, 1P〉 |
4 | cer 7216 | . . 3 class ~R | |
5 | 3, 4 | cec 6478 | . 2 class [〈1P, 1P〉] ~R |
6 | 1, 5 | wceq 1335 | 1 wff 0R = [〈1P, 1P〉] ~R |
Colors of variables: wff set class |
This definition is referenced by: gt0srpr 7668 0r 7670 m1p1sr 7680 0lt1sr 7685 0idsr 7687 00sr 7689 suplocsrlempr 7727 pitoregt0 7769 |
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