Definition df-reps 13306

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 e. _V , n e. NN0 |-> ( x e. ( 0..^ n ) |-> s ) )

Distinct variable group:   n, s, x

Detailed syntax breakdown of Definition df-reps

Step	Hyp	Ref	Expression
1		creps 13298	. 2 class repeatS
2		vs	. . 3 setvar s
3		vn	. . 3 setvar n
4		cvv 3200	. . 3 class _V
5		cn0 11292	. . 3 class NN0
6		vx	. . . 4 setvar x
7		cc0 9936	. . . . 5 class 0
8	3	cv 1482	. . . . 5 class n
9		cfzo 12465	. . . . 5 class ..^
10	7, 8, 9	co 6650	. . . 4 class ( 0..^ n )
11	2	cv 1482	. . . 4 class s
12	6, 10, 11	cmpt 4729	. . 3 class ( x e. ( 0..^ n ) |-> s )
13	2, 3, 4, 5, 12	cmpt2 6652	. 2 class ( s e. _V , n e. NN0 |-> ( x e. ( 0..^ n ) |-> s ) )
14	1, 13	wceq 1483	1 wff repeatS = ( s e. _V , n e. NN0 |-> ( x e. ( 0..^ n ) |-> s ) )

This definition is referenced by:  reps  13517  repsundef  13518