Definition df-ba 27451

Description: Define the base set of a normed complex vector space. (Contributed by NM, 23-Apr-2007.) (New usage is discouraged.)

Assertion

Ref	Expression
df-ba	|- BaseSet = ( x e. _V |-> ran ( +v ` x ) )

Detailed syntax breakdown of Definition df-ba

Step	Hyp	Ref	Expression
1		cba 27441	. 2 class BaseSet
2		vx	. . 3 setvar x
3		cvv 3200	. . 3 class _V
4	2	cv 1482	. . . . 5 class x
5		cpv 27440	. . . . 5 class +v
6	4, 5	cfv 5888	. . . 4 class ( +v ` x )
7	6	crn 5115	. . 3 class ran ( +v ` x )
8	2, 3, 7	cmpt 4729	. 2 class ( x e. _V |-> ran ( +v ` x ) )
9	1, 8	wceq 1483	1 wff BaseSet = ( x e. _V |-> ran ( +v ` x ) )

This definition is referenced by:  bafval  27459