Definition df-1r 3966

Description: Define signed real constant 1. This is a "temporary" set used in the construction of complex numbers df-c 4034, and is intended to be used only by the construction. From Proposition 9-4.2 of [Gleason] p. 126.

Assertion

Ref	Expression
df-1r	|- 1R = [<.(1P +P. 1P), 1P>.] ~R

Detailed syntax breakdown of Definition df-1r

Step	Hyp	Ref	Expression
1		c1r 3789	. 2 class 1R
2		c1p 3780	. . . . 5 class 1P
3		cpp 3781	. . . . 5 class +P.
4	2, 2, 3	co 3001	. . . 4 class (1P +P. 1P)
5	4, 2	cop 1810	. . 3 class <.(1P +P. 1P), 1P>.
6		cer 3786	. . 3 class ~R
7	5, 6	cec 3198	. 2 class [<.(1P +P. 1P), 1P>.] ~R
8	1, 7	wceq 1091	1 wff 1R = [<.(1P +P. 1P), 1P>.] ~R

This definition is referenced by:  1r 3984  m1p1sr 3995  m1m1sr 3996  0lt1sr 3998  1idsr 4001  recexsrlem 4006

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