Definition df-ee 29473

Description: Define the Euclidean space generator. For details, see elee 29476. (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

Step	Hyp	Ref	Expression
1		cee 29470	. 2 class 𝔼
2		vn	. . 3 setvar 𝑛
3		cn 12338	. . 3 class ℕ
4		cr 11202	. . . 4 class ℝ
5		c1 11204	. . . . 5 class 1
6	2	cv 1568	. . . . 5 class 𝑛
7		cfz 13642	. . . . 5 class ...
8	5, 6, 7	co 7420	. . . 4 class (1...𝑛)
9		cmap 8850	. . . 4 class ↑m
10	4, 8, 9	co 7420	. . 3 class (ℝ ↑m (1...𝑛))
11	2, 3, 10	cmpt 5185	. 2 class (𝑛 ∈ ℕ ↦ (ℝ ↑m (1...𝑛)))
12	1, 11	wceq 1569	1 wff 𝔼 = (𝑛 ∈ ℕ ↦ (ℝ ↑m (1...𝑛)))

This definition is used by:  elee  29476  eleenn  29479