Definition df-ba 8179

Description: Define the base set of a normed complex vector space.

Assertion

Ref	Expression
df-ba	|- Base = {<.x, y>. | y = ran (+v` x)}

Distinct variable group:   x,y

Detailed syntax breakdown of Definition df-ba

Step	Hyp	Ref	Expression
1		cba 8169	. 2 class Base
2		vy	. . . . 5 set y
3	2	cv 954	. . . 4 class y
4		vx	. . . . . . 7 set x
5	4	cv 954	. . . . . 6 class x
6		cpv 8168	. . . . . 6 class +v
7	5, 6	cfv 3178	. . . . 5 class (+v` x)
8	7	crn 3167	. . . 4 class ran (+v` x)
9	3, 8	wceq 955	. . 3 wff y = ran (+v` x)
10	9, 4, 2	copab 2662	. 2 class {<.x, y>. | y = ran (+v` x)}
11	1, 10	wceq 955	1 wff Base = {<.x, y>. | y = ran (+v` x)}

This definition is referenced by:  bafval 8187

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