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Definition df-ee 28920
Description: Define the Euclidean space generator. For details, see elee 28923. (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 28917 . 2 class 𝔼
2 vn . . 3 setvar 𝑛
3 cn 12263 . . 3 class
4 cr 11151 . . . 4 class
5 c1 11153 . . . . 5 class 1
62cv 1535 . . . . 5 class 𝑛
7 cfz 13543 . . . . 5 class ...
85, 6, 7co 7430 . . . 4 class (1...𝑛)
9 cmap 8864 . . . 4 class m
104, 8, 9co 7430 . . 3 class (ℝ ↑m (1...𝑛))
112, 3, 10cmpt 5230 . 2 class (𝑛 ∈ ℕ ↦ (ℝ ↑m (1...𝑛)))
121, 11wceq 1536 1 wff 𝔼 = (𝑛 ∈ ℕ ↦ (ℝ ↑m (1...𝑛)))
Colors of variables: wff setvar class
This definition is referenced by:  elee  28923  eleenn  28925  eenglngeehlnm  48588
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