Definition df-rp 9776

Description: Define the set of positive reals. Definition of positive numbers in [Apostol] p. 20. (Contributed by NM, 27-Oct-2007.)

Assertion

Ref	Expression
df-rp	|- RR+ = { x e. RR | 0 < x }

Detailed syntax breakdown of Definition df-rp

Step	Hyp	Ref	Expression
1		crp 9775	. 2 class RR+
2		cc0 7925	. . . 4 class 0
3		vx	. . . . 5 setvar x
4	3	cv 1372	. . . 4 class x
5		clt 8107	. . . 4 class <
6	2, 4, 5	wbr 4044	. . 3 wff 0 < x
7		cr 7924	. . 3 class RR
8	6, 3, 7	crab 2488	. 2 class { x e. RR | 0 < x }
9	1, 8	wceq 1373	1 wff RR+ = { x e. RR | 0 < x }

This definition is referenced by:  elrp  9777  rpre  9782  ioorp  10073