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Definition df-1r 6815
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 6395 . 2 class 1R
2 c1p 6388 . . . . 5 class 1P
3 cpp 6389 . . . . 5 class +P
42, 2, 3co 5512 . . . 4 class (1P +P 1P)
54, 2cop 3378 . . 3 class ⟨(1P +P 1P), 1P
6 cer 6392 . . 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  6834  m1p1sr  6843  m1m1sr  6844  0lt1sr  6848  1idsr  6851  recexgt0sr  6856  caucvgsrlembound  6876  caucvgsr  6884  pitonnlem1  6919  pitonnlem2  6921  recidpirq  6932  nntopi  6966
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