Definition df-1r

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

	Ref	Expression
Assertion	df-1r	⊢ 1R = [ ⟨ ( 1P +P 1P ) , 1P ⟩ ] ~R

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		c1r	⊢ 1R
1		c1p	⊢ 1P
2		cpp	⊢ +P
3	1 1 2	co	⊢ ( 1P +P 1P )
4	3 1	cop	⊢ ⟨ ( 1P +P 1P ) , 1P ⟩
5		cer	⊢ ~R
6	4 5	cec	⊢ [ ⟨ ( 1P +P 1P ) , 1P ⟩ ] ~R
7	0 6	wceq	⊢ 1R = [ ⟨ ( 1P +P 1P ) , 1P ⟩ ] ~R