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Mirrors > Home > ILE Home > Th. List > df-1r | GIF version |
Description: Define signed real constant 1. 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-1r | ⊢ 1R = [〈(1P +P 1P), 1P〉] ~R |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c1r 7107 | . 2 class 1R | |
2 | c1p 7100 | . . . . 5 class 1P | |
3 | cpp 7101 | . . . . 5 class +P | |
4 | 2, 2, 3 | co 5774 | . . . 4 class (1P +P 1P) |
5 | 4, 2 | cop 3530 | . . 3 class 〈(1P +P 1P), 1P〉 |
6 | cer 7104 | . . 3 class ~R | |
7 | 5, 6 | cec 6427 | . 2 class [〈(1P +P 1P), 1P〉] ~R |
8 | 1, 7 | wceq 1331 | 1 wff 1R = [〈(1P +P 1P), 1P〉] ~R |
Colors of variables: wff set class |
This definition is referenced by: 1sr 7559 m1p1sr 7568 m1m1sr 7569 0lt1sr 7573 1idsr 7576 recexgt0sr 7581 caucvgsrlembound 7602 caucvgsr 7610 pitonnlem1 7653 pitonnlem2 7655 recidpirq 7666 nntopi 7702 |
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