Description: Define signed real constant -1. This is a "temporary" set used in the construction of complex numbers df-c , and is intended to be used only by the construction. (Contributed by NM, 9-Aug-1995) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-m1r | |- -1R = [ <. 1P , ( 1P +P. 1P ) >. ] ~R |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cm1r | |- -1R |
|
| 1 | c1p | |- 1P |
|
| 2 | cpp | |- +P. |
|
| 3 | 1 1 2 | co | |- ( 1P +P. 1P ) |
| 4 | 1 3 | cop | |- <. 1P , ( 1P +P. 1P ) >. |
| 5 | cer | |- ~R |
|
| 6 | 4 5 | cec | |- [ <. 1P , ( 1P +P. 1P ) >. ] ~R |
| 7 | 0 6 | wceq | |- -1R = [ <. 1P , ( 1P +P. 1P ) >. ] ~R |