Definition df-reps 14463

Description: Definition to construct a word consisting of one repeated symbol, often called "repeated symbol word" for short in the following. (Contributed by Alexander van der Vekens, 4-Nov-2018.)

Assertion

Ref	Expression
df-reps	⊢ repeatS = (𝑠 ∈ V, 𝑛 ∈ ℕ0 ↦ (𝑥 ∈ (0..^𝑛) ↦ 𝑠))

Distinct variable group:   𝑛,𝑠,𝑥

Detailed syntax breakdown of Definition df-reps

Step	Hyp	Ref	Expression
1		creps 14462	. 2 class repeatS
2		vs	. . 3 setvar 𝑠
3		vn	. . 3 setvar 𝑛
4		cvv 3430	. . 3 class V
5		cn0 12216	. . 3 class ℕ0
6		vx	. . . 4 setvar 𝑥
7		cc0 10855	. . . . 5 class 0
8	3	cv 1540	. . . . 5 class 𝑛
9		cfzo 13364	. . . . 5 class ..^
10	7, 8, 9	co 7268	. . . 4 class (0..^𝑛)
11	2	cv 1540	. . . 4 class 𝑠
12	6, 10, 11	cmpt 5161	. . 3 class (𝑥 ∈ (0..^𝑛) ↦ 𝑠)
13	2, 3, 4, 5, 12	cmpo 7270	. 2 class (𝑠 ∈ V, 𝑛 ∈ ℕ0 ↦ (𝑥 ∈ (0..^𝑛) ↦ 𝑠))
14	1, 13	wceq 1541	1 wff repeatS = (𝑠 ∈ V, 𝑛 ∈ ℕ0 ↦ (𝑥 ∈ (0..^𝑛) ↦ 𝑠))

This definition is referenced by:  reps  14464  repsundef  14465