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Definition df-ee 26685
Description: Define the Euclidean space generator. For details, see elee 26688. (Contributed by Scott Fenton, 3-Jun-2013.)
Assertion
Ref Expression
df-ee 𝔼 = (𝑛 ∈ ℕ ↦ (ℝ ↑m (1...𝑛)))

Detailed syntax breakdown of Definition df-ee
StepHypRef Expression
1 cee 26682 . 2 class 𝔼
2 vn . . 3 setvar 𝑛
3 cn 11625 . . 3 class
4 cr 10525 . . . 4 class
5 c1 10527 . . . . 5 class 1
62cv 1537 . . . . 5 class 𝑛
7 cfz 12885 . . . . 5 class ...
85, 6, 7co 7135 . . . 4 class (1...𝑛)
9 cmap 8389 . . . 4 class m
104, 8, 9co 7135 . . 3 class (ℝ ↑m (1...𝑛))
112, 3, 10cmpt 5110 . 2 class (𝑛 ∈ ℕ ↦ (ℝ ↑m (1...𝑛)))
121, 11wceq 1538 1 wff 𝔼 = (𝑛 ∈ ℕ ↦ (ℝ ↑m (1...𝑛)))
Colors of variables: wff setvar class
This definition is referenced by:  elee  26688  eleenn  26690  eenglngeehlnm  45151
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