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Definition df-0r 10074
Description: Define signed real constant 0. This is a "temporary" set used in the construction of complex numbers df-c 10134, 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.) (New usage is discouraged.)
Assertion
Ref Expression
df-0r 0R = [⟨1P, 1P⟩] ~R

Detailed syntax breakdown of Definition df-0r
StepHypRef Expression
1 c0r 9880 . 2 class 0R
2 c1p 9874 . . . 4 class 1P
32, 2cop 4327 . . 3 class ⟨1P, 1P
4 cer 9878 . . 3 class ~R
53, 4cec 7909 . 2 class [⟨1P, 1P⟩] ~R
61, 5wceq 1632 1 wff 0R = [⟨1P, 1P⟩] ~R
Colors of variables: wff setvar class
This definition is referenced by:  gt0srpr  10091  0r  10093  m1p1sr  10105  0lt1sr  10108  0idsr  10110  00sr  10112  supsrlem  10124
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