df-splice - Metamath Proof Explorer

	Metamath Proof Explorer	< Previous Next > Nearby theorems
Mirrors > Home > MPE Home > Th. List > df-splice		Structured version Unicode version

Definition df-splice 12528

Description: Define an operation which replaces portions of words. (Contributed by Stefan O'Rear, 15-Aug-2015.)

**Assertion**
Ref	Expression
df-splice	splice substr concat concat substr

**Detailed syntax breakdown of Definition df-splice**
Step	Hyp	Ref	Expression
1		csplice 12520	. 2 splice
2		vs	. . 3
3		vb	. . 3
4		cvv 3095	. . 3
5	2	cv 1382	. . . . . 6
6		cc0 9495	. . . . . . 7
7	3	cv 1382	. . . . . . . . 9
8		c1st 6783	. . . . . . . . 9
9	7, 8	cfv 5578	. . . . . . . 8
10	9, 8	cfv 5578	. . . . . . 7
11	6, 10	cop 4020	. . . . . 6
12		csubstr 12519	. . . . . 6 substr
13	5, 11, 12	co 6281	. . . . 5 substr
14		c2nd 6784	. . . . . 6
15	7, 14	cfv 5578	. . . . 5
16		cconcat 12517	. . . . 5 concat
17	13, 15, 16	co 6281	. . . 4 substr concat
18	9, 14	cfv 5578	. . . . . 6
19		chash 12386	. . . . . . 7
20	5, 19	cfv 5578	. . . . . 6
21	18, 20	cop 4020	. . . . 5
22	5, 21, 12	co 6281	. . . 4 substr
23	17, 22, 16	co 6281	. . 3 substr concat concat substr
24	2, 3, 4, 4, 23	cmpt2 6283	. 2 substr concat concat substr
25	1, 24	wceq 1383	1 splice substr concat concat substr

Colors of variables: wff setvar class

This definition is referenced by: splval 12708 splcl 12709