Definition df-p0 17039

Description: Define poset zero. (Contributed by NM, 12-Oct-2011.)

Assertion

Ref	Expression
df-p0	|- 0. = ( p e. _V |-> ( ( glb ` p ) ` ( Base ` p ) ) )

Detailed syntax breakdown of Definition df-p0

Step	Hyp	Ref	Expression
1		cp0 17037	. 2 class 0.
2		vp	. . 3 setvar p
3		cvv 3200	. . 3 class _V
4	2	cv 1482	. . . . 5 class p
5		cbs 15857	. . . . 5 class Base
6	4, 5	cfv 5888	. . . 4 class ( Base ` p )
7		cglb 16943	. . . . 5 class glb
8	4, 7	cfv 5888	. . . 4 class ( glb ` p )
9	6, 8	cfv 5888	. . 3 class ( ( glb ` p ) ` ( Base ` p ) )
10	2, 3, 9	cmpt 4729	. 2 class ( p e. _V |-> ( ( glb ` p ) ` ( Base ` p ) ) )
11	1, 10	wceq 1483	1 wff 0. = ( p e. _V |-> ( ( glb ` p ) ` ( Base ` p ) ) )

This definition is referenced by:  p0val  17041