MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-m1r Structured version   Visualization version   GIF version

Definition df-m1r 9922
Description: Define signed real constant -1. This is a "temporary" set used in the construction of complex numbers df-c 9980, and is intended to be used only by the construction. (Contributed by NM, 9-Aug-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-m1r -1R = [⟨1P, (1P +P 1P)⟩] ~R

Detailed syntax breakdown of Definition df-m1r
StepHypRef Expression
1 cm1r 9728 . 2 class -1R
2 c1p 9720 . . . 4 class 1P
3 cpp 9721 . . . . 5 class +P
42, 2, 3co 6690 . . . 4 class (1P +P 1P)
52, 4cop 4216 . . 3 class ⟨1P, (1P +P 1P)⟩
6 cer 9724 . . 3 class ~R
75, 6cec 7785 . 2 class [⟨1P, (1P +P 1P)⟩] ~R
81, 7wceq 1523 1 wff -1R = [⟨1P, (1P +P 1P)⟩] ~R
Colors of variables: wff setvar class
This definition is referenced by:  m1r  9941  m1p1sr  9951  m1m1sr  9952  mappsrpr  9967  map2psrpr  9969
  Copyright terms: Public domain W3C validator