MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-ltp Unicode version

Definition df-ltp 9239
Description: Define ordering on positive reals. This is a "temporary" set used in the construction of complex numbers df-c 9373, and is intended to be used only by the construction. From Proposition 9-3.2 of [Gleason] p. 122. (Contributed by NM, 14-Feb-1996.) (New usage is discouraged.)
Assertion
Ref Expression
df-ltp
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-ltp
StepHypRef Expression
1 cltp 9115 . 2
2 vx . . . . . . 7
32cv 1369 . . . . . 6
4 cnp 9111 . . . . . 6
53, 4wcel 1757 . . . . 5
6 vy . . . . . . 7
76cv 1369 . . . . . 6
87, 4wcel 1757 . . . . 5
95, 8wa 369 . . . 4
103, 7wpss 3411 . . . 4
119, 10wa 369 . . 3
1211, 2, 6copab 4431 . 2
131, 12wceq 1370 1
Colors of variables: wff setvar class
This definition is referenced by:  ltrelpr  9252  ltprord  9284
  Copyright terms: Public domain W3C validator