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Definition df-rp 11871
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 11870 . 2 class +
2 cc0 9974 . . . 4 class 0
3 vx . . . . 5 setvar 𝑥
43cv 1522 . . . 4 class 𝑥
5 clt 10112 . . . 4 class <
62, 4, 5wbr 4685 . . 3 wff 0 < 𝑥
7 cr 9973 . . 3 class
86, 3, 7crab 2945 . 2 class {𝑥 ∈ ℝ ∣ 0 < 𝑥}
91, 8wceq 1523 1 wff + = {𝑥 ∈ ℝ ∣ 0 < 𝑥}
Colors of variables: wff setvar class
This definition is referenced by:  elrp  11872  rpre  11877  ioorp  12289
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