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Definition df-0r 10083
Description: Define signed real constant 0. This is a "temporary" set used in the construction of complex numbers df-c 10143, 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 9889 . 2 class 0R
2 c1p 9883 . . . 4 class 1P
32, 2cop 4320 . . 3 class ⟨1P, 1P
4 cer 9887 . . 3 class ~R
53, 4cec 7893 . 2 class [⟨1P, 1P⟩] ~R
61, 5wceq 1630 1 wff 0R = [⟨1P, 1P⟩] ~R
Colors of variables: wff setvar class
This definition is referenced by:  gt0srpr  10100  0r  10102  m1p1sr  10114  0lt1sr  10117  0idsr  10119  00sr  10121  supsrlem  10133
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