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Definition df-1r 6817
Description: Define signed real constant 1. 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-1r 1R = [⟨(1P +P 1P), 1P⟩] ~R

Detailed syntax breakdown of Definition df-1r
StepHypRef Expression
1 c1r 6397 . 2 class 1R
2 c1p 6390 . . . . 5 class 1P
3 cpp 6391 . . . . 5 class +P
42, 2, 3co 5512 . . . 4 class (1P +P 1P)
54, 2cop 3378 . . 3 class ⟨(1P +P 1P), 1P
6 cer 6394 . . 3 class ~R
75, 6cec 6104 . 2 class [⟨(1P +P 1P), 1P⟩] ~R
81, 7wceq 1243 1 wff 1R = [⟨(1P +P 1P), 1P⟩] ~R
Colors of variables: wff set class
This definition is referenced by:  1sr  6836  m1p1sr  6845  m1m1sr  6846  0lt1sr  6850  1idsr  6853  recexgt0sr  6858  caucvgsrlembound  6878  caucvgsr  6886  pitonnlem1  6921  pitonnlem2  6923  recidpirq  6934  nntopi  6968
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