df-splice - Metamath Proof Explorer

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Definition df-splice 11682

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 11676	. 2 splice
2		vs	. . 3
3		vb	. . 3
4		cvv 2916	. . 3
5	2	cv 1648	. . . . . 6
6		cc0 8946	. . . . . . 7
7	3	cv 1648	. . . . . . . . 9
8		c1st 6306	. . . . . . . . 9
9	7, 8	cfv 5413	. . . . . . . 8
10	9, 8	cfv 5413	. . . . . . 7
11	6, 10	cop 3777	. . . . . 6
12		csubstr 11675	. . . . . 6 substr
13	5, 11, 12	co 6040	. . . . 5 substr
14		c2nd 6307	. . . . . 6
15	7, 14	cfv 5413	. . . . 5
16		cconcat 11673	. . . . 5 concat
17	13, 15, 16	co 6040	. . . 4 substr concat
18	9, 14	cfv 5413	. . . . . 6
19		chash 11573	. . . . . . 7
20	5, 19	cfv 5413	. . . . . 6
21	18, 20	cop 3777	. . . . 5
22	5, 21, 12	co 6040	. . . 4 substr
23	17, 22, 16	co 6040	. . 3 substr concat concat substr
24	2, 3, 4, 4, 23	cmpt2 6042	. 2 substr concat concat substr
25	1, 24	wceq 1649	1 splice substr concat concat substr

Colors of variables: wff set class

This definition is referenced by: splval 11735 splcl 11736