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Definition df-0r 7503
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 7070 . 2  class  0R
2 c1p 7064 . . . 4  class  1P
32, 2cop 3498 . . 3  class  <. 1P ,  1P >.
4 cer 7068 . . 3  class  ~R
53, 4cec 6393 . 2  class  [ <. 1P ,  1P >. ]  ~R
61, 5wceq 1314 1  wff  0R  =  [ <. 1P ,  1P >. ]  ~R
Colors of variables: wff set class
This definition is referenced by:  gt0srpr  7520  0r  7522  m1p1sr  7532  0lt1sr  7537  0idsr  7539  00sr  7541  suplocsrlempr  7579  pitoregt0  7621
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