Definition df-1r 10748

Description: Define signed real constant 1. This is a "temporary" set used in the construction of complex numbers df-c 10808, 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

Step	Hyp	Ref	Expression
1		c1r 10554	. 2 class 1R
2		c1p 10547	. . . . 5 class 1P
3		cpp 10548	. . . . 5 class +P
4	2, 2, 3	co 7255	. . . 4 class (1P +P 1P)
5	4, 2	cop 4564	. . 3 class ⟨(1P +P 1P), 1P⟩
6		cer 10551	. . 3 class ~R
7	5, 6	cec 8454	. 2 class [⟨(1P +P 1P), 1P⟩] ~R
8	1, 7	wceq 1539	1 wff 1R = [⟨(1P +P 1P), 1P⟩] ~R

This definition is referenced by:  1sr  10768  m1p1sr  10779  m1m1sr  10780  0lt1sr  10782  1idsr  10785  recexsrlem  10790