Definition df-p1 15527

Description: Define poset unit. (Contributed by NM, 22-Oct-2011.)

Assertion

Ref	Expression
df-p1	|- 1. = ( p e. _V |-> ( ( lub ` p ) ` ( Base ` p ) ) )

Detailed syntax breakdown of Definition df-p1

Step	Hyp	Ref	Expression
1		cp1 15525	. 2 class 1.
2		vp	. . 3 setvar p
3		cvv 3113	. . 3 class _V
4	2	cv 1378	. . . . 5 class p
5		cbs 14490	. . . . 5 class Base
6	4, 5	cfv 5588	. . . 4 class ( Base ` p )
7		club 15429	. . . . 5 class lub
8	4, 7	cfv 5588	. . . 4 class ( lub ` p )
9	6, 8	cfv 5588	. . 3 class ( ( lub ` p ) ` ( Base ` p ) )
10	2, 3, 9	cmpt 4505	. 2 class ( p e. _V |-> ( ( lub ` p ) ` ( Base ` p ) ) )
11	1, 10	wceq 1379	1 wff 1. = ( p e. _V |-> ( ( lub ` p ) ` ( Base ` p ) ) )

This definition is referenced by:  p1val  15529