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Definition df-rp 8339
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 + = {x ℝ ∣ 0 < x}

Detailed syntax breakdown of Definition df-rp
StepHypRef Expression
1 crp 8338 . 2 class +
2 cc0 6691 . . . 4 class 0
3 vx . . . . 5 setvar x
43cv 1241 . . . 4 class x
5 clt 6837 . . . 4 class <
62, 4, 5wbr 3755 . . 3 wff 0 < x
7 cr 6690 . . 3 class
86, 3, 7crab 2304 . 2 class {x ℝ ∣ 0 < x}
91, 8wceq 1242 1 wff + = {x ℝ ∣ 0 < x}
Colors of variables: wff set class
This definition is referenced by:  elrp  8340  rpre  8344  ioorp  8570
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