HomeHome Metamath Proof Explorer < Previous   Next >
Related theorems
Unicode version

Definition df-m1r 5173
Description: Define signed real constant -1. This is a "temporary" set used in the construction of complex numbers df-c 5240, and is intended to be used only by the construction.
Assertion
Ref Expression
df-m1r |- -1R = [<.1P, (1P +P. 1P)>.] ~R

Detailed syntax breakdown of Definition df-m1r
StepHypRef Expression
1 cm1r 4996 . 2 class -1R
2 c1p 4986 . . . 4 class 1P
3 cpp 4987 . . . . 5 class +P.
42, 2, 3co 3963 . . . 4 class (1P +P. 1P)
52, 4cop 2411 . . 3 class <.1P, (1P +P. 1P)>.
6 cer 4992 . . 3 class ~R
75, 6cec 4259 . 2 class [<.1P, (1P +P. 1P)>.] ~R
81, 7wceq 956 1 wff -1R = [<.1P, (1P +P. 1P)>.] ~R
Colors of variables: wff set class
This definition is referenced by:  m1r 5191  m1p1sr 5201  m1m1sr 5202
Copyright terms: Public domain