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Definition df-rp 8816
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 8815 . 2 class +
2 cc0 7043 . . . 4 class 0
3 vx . . . . 5 setvar 𝑥
43cv 1284 . . . 4 class 𝑥
5 clt 7215 . . . 4 class <
62, 4, 5wbr 3793 . . 3 wff 0 < 𝑥
7 cr 7042 . . 3 class
86, 3, 7crab 2353 . 2 class {𝑥 ∈ ℝ ∣ 0 < 𝑥}
91, 8wceq 1285 1 wff + = {𝑥 ∈ ℝ ∣ 0 < 𝑥}
Colors of variables: wff set class
This definition is referenced by:  elrp  8817  rpre  8821  ioorp  9050
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