ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-1nqqs GIF version

Definition df-1nqqs 7300
Description: Define positive fraction constant 1. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. From Proposition 9-2.2 of [Gleason] p. 117. (Contributed by NM, 29-Oct-1995.)
Assertion
Ref Expression
df-1nqqs 1Q = [⟨1o, 1o⟩] ~Q

Detailed syntax breakdown of Definition df-1nqqs
StepHypRef Expression
1 c1q 7230 . 2 class 1Q
2 c1o 6385 . . . 4 class 1o
32, 2cop 3584 . . 3 class ⟨1o, 1o
4 ceq 7228 . . 3 class ~Q
53, 4cec 6507 . 2 class [⟨1o, 1o⟩] ~Q
61, 5wceq 1348 1 wff 1Q = [⟨1o, 1o⟩] ~Q
Colors of variables: wff set class
This definition is referenced by:  1nq  7315  1qec  7337  mulidnq  7338  1lt2nq  7355  addpinq1  7413  caucvgprlemm  7617  caucvgprprlemmu  7644  caucvgsr  7751  pitonnlem1  7794  nntopi  7843
  Copyright terms: Public domain W3C validator