Definition df-1p 10669

Description: Define the positive 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. Definition of [Gleason] p. 122. (Contributed by NM, 13-Mar-1996.) (New usage is discouraged.)

Assertion

Ref	Expression
df-1p	⊢ 1P = {𝑥 ∣ 𝑥 <Q 1Q}

Detailed syntax breakdown of Definition df-1p

Step	Hyp	Ref	Expression
1		c1p 10547	. 2 class 1P
2		vx	. . . . 5 setvar 𝑥
3	2	cv 1538	. . . 4 class 𝑥
4		c1q 10540	. . . 4 class 1Q
5		cltq 10545	. . . 4 class <Q
6	3, 4, 5	wbr 5070	. . 3 wff 𝑥 <Q 1Q
7	6, 2	cab 2715	. 2 class {𝑥 ∣ 𝑥 <Q 1Q}
8	1, 7	wceq 1539	1 wff 1P = {𝑥 ∣ 𝑥 <Q 1Q}

This definition is referenced by:  1pr  10702  1idpr  10716  reclem3pr  10736  reclem4pr  10737