Definition df-0r 7630

Description: Define signed real constant 0. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. From Proposition 9-4.2 of [Gleason] p. 126. (Contributed by NM, 9-Aug-1995.)

Assertion

Ref	Expression
df-0r	|- 0R = [ <. 1P , 1P >. ] ~R

Detailed syntax breakdown of Definition df-0r

Step	Hyp	Ref	Expression
1		c0r 7197	. 2 class 0R
2		c1p 7191	. . . 4 class 1P
3	2, 2	cop 3559	. . 3 class <. 1P , 1P >.
4		cer 7195	. . 3 class ~R
5	3, 4	cec 6467	. 2 class [ <. 1P , 1P >. ] ~R
6	1, 5	wceq 1332	1 wff 0R = [ <. 1P , 1P >. ] ~R

This definition is referenced by:  gt0srpr  7647  0r  7649  m1p1sr  7659  0lt1sr  7664  0idsr  7666  00sr  7668  suplocsrlempr  7706  pitoregt0  7748