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

Definition df-0r 7708
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 7275 . 2  class  0R
2 c1p 7269 . . . 4  class  1P
32, 2cop 3594 . . 3  class  <. 1P ,  1P >.
4 cer 7273 . . 3  class  ~R
53, 4cec 6526 . 2  class  [ <. 1P ,  1P >. ]  ~R
61, 5wceq 1353 1  wff  0R  =  [ <. 1P ,  1P >. ]  ~R
Colors of variables: wff set class
This definition is referenced by:  gt0srpr  7725  0r  7727  m1p1sr  7737  0lt1sr  7742  0idsr  7744  00sr  7746  suplocsrlempr  7784  pitoregt0  7826
  Copyright terms: Public domain W3C validator