Definition df-0r 7539

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 7106	. 2 class 0R
2		c1p 7100	. . . 4 class 1P
3	2, 2	cop 3530	. . 3 class <. 1P , 1P >.
4		cer 7104	. . 3 class ~R
5	3, 4	cec 6427	. 2 class [ <. 1P , 1P >. ] ~R
6	1, 5	wceq 1331	1 wff 0R = [ <. 1P , 1P >. ] ~R

This definition is referenced by:  gt0srpr  7556  0r  7558  m1p1sr  7568  0lt1sr  7573  0idsr  7575  00sr  7577  suplocsrlempr  7615  pitoregt0  7657