Definition df-rp 6282

Description: Define the set of positive reals. Definition of positive numbers in [Apostol] p. 20.

Assertion

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

Detailed syntax breakdown of Definition df-rp

Step	Hyp	Ref	Expression
1		crp 5312	. 2 class RR+
2		cc0 5246	. . . 4 class 0
3		vx	. . . . 5 set x
4	3	cv 957	. . . 4 class x
5		clt 5498	. . . 4 class <
6	2, 4, 5	wbr 2624	. . 3 wff 0 < x
7		cr 5245	. . 3 class RR
8	6, 3, 7	crab 1651	. 2 class {x e. RR | 0 < x}
9	1, 8	wceq 958	1 wff RR+ = {x e. RR | 0 < x}

This definition is referenced by:  elrp 6283  rpret 6285  ioorp 6396

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