Definition df-1p 6605

Description: Define the positive real constant 1. This is a "temporary" set used in the construction of complex numbers df-c 6758, and is intended to be used only by the construction. Definition of [Gleason] p. 122.

Assertion

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

Detailed syntax breakdown of Definition df-1p

Step	Hyp	Ref	Expression
1		c1p 6504	. 2 class 1P
2		vx	. . . . 5 set x
3	2	cv 1585	. . . 4 class x
4		c1q 6498	. . . 4 class 1Q
5		cltq 6502	. . . 4 class <Q
6	3, 4, 5	wbr 3507	. . 3 wff x <Q 1Q
7	6, 2	cab 2128	. 2 class {x | x <Q 1Q}
8	1, 7	wceq 1586	1 wff 1P = {x | x <Q 1Q}

This definition is referenced by:  1pr 6635  1idpr 6651  reclem3pr 6676  reclem4pr 6677

Copyright terms: Public domain