Definition df-1p 10991

Description: Define the positive real constant 1. This is a "temporary" set used in the construction of complex numbers df-c 11130, 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 10869	. 2 class 1P
2		vx	. . . . 5 setvar 𝑥
3	2	cv 1569	. . . 4 class 𝑥
4		c1q 10862	. . . 4 class 1Q
5		cltq 10867	. . . 4 class <Q
6	3, 4, 5	wbr 5103	. . 3 wff 𝑥 <Q 1Q
7	6, 2	cab 2738	. 2 class {𝑥 ∣ 𝑥 <Q 1Q}
8	1, 7	wceq 1570	1 wff 1P = {𝑥 ∣ 𝑥 <Q 1Q}

This definition is used by:  1pr  11024  1idpr  11038  reclem3pr  11058  reclem4pr  11059