Definition df-rp 6281

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 5300	. 2 class RR+
2		cc0 5234	. . . 4 class 0
3		vx	. . . . 5 set x
4	3	cv 955	. . . 4 class x
5		clt 5486	. . . 4 class <
6	2, 4, 5	wbr 2619	. . 3 wff 0 < x
7		cr 5233	. . 3 class RR
8	6, 3, 7	crab 1648	. 2 class {x e. RR | 0 < x}
9	1, 8	wceq 956	1 wff RR+ = {x e. RR | 0 < x}

This definition is referenced by:  elrp 6282  rpret 6284  ioorp 6395

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