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Definition df-rp 12730
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 12729 . 2 class +
2 cc0 10872 . . . 4 class 0
3 vx . . . . 5 setvar 𝑥
43cv 1541 . . . 4 class 𝑥
5 clt 11010 . . . 4 class <
62, 4, 5wbr 5079 . . 3 wff 0 < 𝑥
7 cr 10871 . . 3 class
86, 3, 7crab 3070 . 2 class {𝑥 ∈ ℝ ∣ 0 < 𝑥}
91, 8wceq 1542 1 wff + = {𝑥 ∈ ℝ ∣ 0 < 𝑥}
Colors of variables: wff setvar class
This definition is referenced by:  elrp  12731  rpssre  12736  ioorp  13156
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