Definition df-1p 9804

Description: Define the positive real constant 1. This is a "temporary" set used in the construction of complex numbers df-c 9942, 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 9682	. 2 class 1P
2		vx	. . . . 5 setvar x
3	2	cv 1482	. . . 4 class x
4		c1q 9675	. . . 4 class 1Q
5		cltq 9680	. . . 4 class <Q
6	3, 4, 5	wbr 4653	. . 3 wff x <Q 1Q
7	6, 2	cab 2608	. 2 class { x | x <Q 1Q }
8	1, 7	wceq 1483	1 wff 1P = { x | x <Q 1Q }

This definition is referenced by:  1pr  9837  1idpr  9851  reclem3pr  9871  reclem4pr  9872