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Definition df-ba 26619
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 ∈ V ↦ ran ( +𝑣𝑥))

Detailed syntax breakdown of Definition df-ba
StepHypRef Expression
1 cba 26609 . 2 class BaseSet
2 vx . . 3 setvar 𝑥
3 cvv 3172 . . 3 class V
42cv 1473 . . . . 5 class 𝑥
5 cpv 26608 . . . . 5 class +𝑣
64, 5cfv 5790 . . . 4 class ( +𝑣𝑥)
76crn 5029 . . 3 class ran ( +𝑣𝑥)
82, 3, 7cmpt 4637 . 2 class (𝑥 ∈ V ↦ ran ( +𝑣𝑥))
91, 8wceq 1474 1 wff BaseSet = (𝑥 ∈ V ↦ ran ( +𝑣𝑥))
Colors of variables: wff setvar class
This definition is referenced by:  bafval  26627
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