ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-0r Unicode version

Definition df-0r 7047
Description: Define signed real constant 0. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. From Proposition 9-4.2 of [Gleason] p. 126. (Contributed by NM, 9-Aug-1995.)
Assertion
Ref Expression
df-0r  |-  0R  =  [ <. 1P ,  1P >. ]  ~R

Detailed syntax breakdown of Definition df-0r
StepHypRef Expression
1 c0r 6627 . 2  class  0R
2 c1p 6621 . . . 4  class  1P
32, 2cop 3420 . . 3  class  <. 1P ,  1P >.
4 cer 6625 . . 3  class  ~R
53, 4cec 6193 . 2  class  [ <. 1P ,  1P >. ]  ~R
61, 5wceq 1285 1  wff  0R  =  [ <. 1P ,  1P >. ]  ~R
Colors of variables: wff set class
This definition is referenced by:  gt0srpr  7064  0r  7066  m1p1sr  7076  0lt1sr  7081  0idsr  7083  00sr  7085  pitoregt0  7156
  Copyright terms: Public domain W3C validator