Definition df-m1r 7674

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.)

Assertion

Ref	Expression
df-m1r	|- -1R = [ <. 1P , ( 1P +P. 1P ) >. ] ~R

Detailed syntax breakdown of Definition df-m1r

Step	Hyp	Ref	Expression
1		cm1r 7241	. 2 class -1R
2		c1p 7233	. . . 4 class 1P
3		cpp 7234	. . . . 5 class +P.
4	2, 2, 3	co 5842	. . . 4 class ( 1P +P. 1P )
5	2, 4	cop 3579	. . 3 class <. 1P , ( 1P +P. 1P ) >.
6		cer 7237	. . 3 class ~R
7	5, 6	cec 6499	. 2 class [ <. 1P , ( 1P +P. 1P ) >. ] ~R
8	1, 7	wceq 1343	1 wff -1R = [ <. 1P , ( 1P +P. 1P ) >. ] ~R

This definition is referenced by:  m1r  7693  m1p1sr  7701  m1m1sr  7702  mappsrprg  7745  map2psrprg  7746