Definition df-1r 8063

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

Step	Hyp	Ref	Expression
1		c1r 7630	. 2 class 1R
2		c1p 7623	. . . . 5 class 1P
3		cpp 7624	. . . . 5 class +P
4	2, 2, 3	co 6058	. . . 4 class (1P +P 1P)
5	4, 2	cop 3697	. . 3 class ⟨(1P +P 1P), 1P⟩
6		cer 7627	. . 3 class ~R
7	5, 6	cec 6778	. 2 class [⟨(1P +P 1P), 1P⟩] ~R
8	1, 7	wceq 1398	1 wff 1R = [⟨(1P +P 1P), 1P⟩] ~R

This definition is referenced by:  1sr  8082  m1p1sr  8091  m1m1sr  8092  0lt1sr  8096  1idsr  8099  recexgt0sr  8104  caucvgsrlembound  8125  caucvgsr  8133  pitonnlem1  8176  pitonnlem2  8178  recidpirq  8189  nntopi  8225