Definition df-1r 6660

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 6283	. 2 class 1R
2		c1p 6276	. . . . 5 class 1P
3		cpp 6277	. . . . 5 class +P.
4	2, 2, 3	co 5455	. . . 4 class ( 1P +P. 1P)
5	4, 2	cop 3370	. . 3 class <.( 1P +P. 1P) , 1P >.
6		cer 6280	. . 3 class ~R
7	5, 6	cec 6040	. 2 class [ <.( 1P +P. 1P) , 1P >.] ~R
8	1, 7	wceq 1242	1 wff 1R = [ <.( 1P +P. 1P) , 1P >.] ~R

This definition is referenced by:  1sr  6679  m1p1sr  6688  m1m1sr  6689  0lt1sr  6693  1idsr  6696  recexgt0sr  6701  pitonnlem1  6741  pitonnlem2  6743