ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-rp GIF version

Definition df-rp 9470
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 9469 . 2 class +
2 cc0 7643 . . . 4 class 0
3 vx . . . . 5 setvar 𝑥
43cv 1331 . . . 4 class 𝑥
5 clt 7823 . . . 4 class <
62, 4, 5wbr 3936 . . 3 wff 0 < 𝑥
7 cr 7642 . . 3 class
86, 3, 7crab 2421 . 2 class {𝑥 ∈ ℝ ∣ 0 < 𝑥}
91, 8wceq 1332 1 wff + = {𝑥 ∈ ℝ ∣ 0 < 𝑥}
Colors of variables: wff set class
This definition is referenced by:  elrp  9471  rpre  9476  ioorp  9763
  Copyright terms: Public domain W3C validator