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Mirrors > Home > MPE Home > Th. List > df-substr | Structured version Visualization version Unicode version |
Description: Define an operation which extracts portions of words. Definition in section 9.1 of [AhoHopUll] p. 318. (Contributed by Stefan O'Rear, 15-Aug-2015.) |
Ref | Expression |
---|---|
df-substr | substr ..^ ..^ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csubstr 13295 | . 2 substr | |
2 | vs | . . 3 | |
3 | vb | . . 3 | |
4 | cvv 3200 | . . 3 | |
5 | cz 11377 | . . . 4 | |
6 | 5, 5 | cxp 5112 | . . 3 |
7 | 3 | cv 1482 | . . . . . . 7 |
8 | c1st 7166 | . . . . . . 7 | |
9 | 7, 8 | cfv 5888 | . . . . . 6 |
10 | c2nd 7167 | . . . . . . 7 | |
11 | 7, 10 | cfv 5888 | . . . . . 6 |
12 | cfzo 12465 | . . . . . 6 ..^ | |
13 | 9, 11, 12 | co 6650 | . . . . 5 ..^ |
14 | 2 | cv 1482 | . . . . . 6 |
15 | 14 | cdm 5114 | . . . . 5 |
16 | 13, 15 | wss 3574 | . . . 4 ..^ |
17 | vx | . . . . 5 | |
18 | cc0 9936 | . . . . . 6 | |
19 | cmin 10266 | . . . . . . 7 | |
20 | 11, 9, 19 | co 6650 | . . . . . 6 |
21 | 18, 20, 12 | co 6650 | . . . . 5 ..^ |
22 | 17 | cv 1482 | . . . . . . 7 |
23 | caddc 9939 | . . . . . . 7 | |
24 | 22, 9, 23 | co 6650 | . . . . . 6 |
25 | 24, 14 | cfv 5888 | . . . . 5 |
26 | 17, 21, 25 | cmpt 4729 | . . . 4 ..^ |
27 | c0 3915 | . . . 4 | |
28 | 16, 26, 27 | cif 4086 | . . 3 ..^ ..^ |
29 | 2, 3, 4, 6, 28 | cmpt2 6652 | . 2 ..^ ..^ |
30 | 1, 29 | wceq 1483 | 1 substr ..^ ..^ |
Colors of variables: wff setvar class |
This definition is referenced by: swrdval 13417 swrd00 13418 swrdcl 13419 swrd0 13434 |
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