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Definition df-1r 9843
Description: Define signed real constant 1. This is a "temporary" set used in the construction of complex numbers df-c 9902, 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-1r 1R = [⟨(1P +P 1P), 1P⟩] ~R

Detailed syntax breakdown of Definition df-1r
StepHypRef Expression
1 c1r 9649 . 2 class 1R
2 c1p 9642 . . . . 5 class 1P
3 cpp 9643 . . . . 5 class +P
42, 2, 3co 6615 . . . 4 class (1P +P 1P)
54, 2cop 4161 . . 3 class ⟨(1P +P 1P), 1P
6 cer 9646 . . 3 class ~R
75, 6cec 7700 . 2 class [⟨(1P +P 1P), 1P⟩] ~R
81, 7wceq 1480 1 wff 1R = [⟨(1P +P 1P), 1P⟩] ~R
Colors of variables: wff setvar class
This definition is referenced by:  1sr  9862  m1p1sr  9873  m1m1sr  9874  0lt1sr  9876  1idsr  9879  recexsrlem  9884
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