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Related theorems GIF version |
| Description: Define signed real constant -1. This is a "temporary" set used in the construction of complex numbers df-c 4034, and is intended to be used only by the construction. |
| Ref | Expression |
|---|---|
| df-m1r | ⊢ -1R = [〈1P, (1P +P 1P)〉] ~R |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cm1r 3790 | . 2 class -1R | |
| 2 | c1p 3780 | . . . 4 class 1P | |
| 3 | cpp 3781 | . . . . 5 class +P | |
| 4 | 2, 2, 3 | co 3001 | . . . 4 class (1P +P 1P) |
| 5 | 2, 4 | cop 1810 | . . 3 class 〈1P, (1P +P 1P)〉 |
| 6 | cer 3786 | . . 3 class ~R | |
| 7 | 5, 6 | cec 3198 | . 2 class [〈1P, (1P +P 1P)〉] ~R |
| 8 | 1, 7 | wceq 1091 | 1 wff -1R = [〈1P, (1P +P 1P)〉] ~R |
| Colors of variables: wff set class |
| This definition is referenced by: m1r 3985 m1p1sr 3995 m1m1sr 3996 |