Definition df-0r 7994

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 7561	. 2 class 0R
2		c1p 7555	. . . 4 class 1P
3	2, 2	cop 3676	. . 3 class <. 1P , 1P >.
4		cer 7559	. . 3 class ~R
5	3, 4	cec 6743	. 2 class [ <. 1P , 1P >. ] ~R
6	1, 5	wceq 1398	1 wff 0R = [ <. 1P , 1P >. ] ~R

This definition is referenced by:  gt0srpr  8011  0r  8013  m1p1sr  8023  0lt1sr  8028  0idsr  8030  00sr  8032  suplocsrlempr  8070  pitoregt0  8112