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| Mirrors > Home > ILE Home > Th. List > df-m1r | 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. (Contributed by NM, 9-Aug-1995.) |
| Ref | Expression |
|---|---|
| df-m1r | ⊢ -1R = [〈1P, (1P +P 1P)〉] ~R |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cm1r 7367 | . 2 class -1R | |
| 2 | c1p 7359 | . . . 4 class 1P | |
| 3 | cpp 7360 | . . . . 5 class +P | |
| 4 | 2, 2, 3 | co 5922 | . . . 4 class (1P +P 1P) |
| 5 | 2, 4 | cop 3625 | . . 3 class 〈1P, (1P +P 1P)〉 |
| 6 | cer 7363 | . . 3 class ~R | |
| 7 | 5, 6 | cec 6590 | . 2 class [〈1P, (1P +P 1P)〉] ~R |
| 8 | 1, 7 | wceq 1364 | 1 wff -1R = [〈1P, (1P +P 1P)〉] ~R |
| Colors of variables: wff set class |
| This definition is referenced by: m1r 7819 m1p1sr 7827 m1m1sr 7828 mappsrprg 7871 map2psrprg 7872 |
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