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Mirrors > Home > MPE Home > Th. List > df-pmtr | Structured version Visualization version Unicode version |
Description: Define a function that generates the transpositions on a set. (Contributed by Stefan O'Rear, 16-Aug-2015.) |
Ref | Expression |
---|---|
df-pmtr | pmTrsp |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cpmtr 17861 | . 2 pmTrsp | |
2 | vd | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | vp | . . . 4 | |
5 | vy | . . . . . . 7 | |
6 | 5 | cv 1482 | . . . . . 6 |
7 | c2o 7554 | . . . . . 6 | |
8 | cen 7952 | . . . . . 6 | |
9 | 6, 7, 8 | wbr 4653 | . . . . 5 |
10 | 2 | cv 1482 | . . . . . 6 |
11 | 10 | cpw 4158 | . . . . 5 |
12 | 9, 5, 11 | crab 2916 | . . . 4 |
13 | vz | . . . . 5 | |
14 | 13, 4 | wel 1991 | . . . . . 6 |
15 | 4 | cv 1482 | . . . . . . . 8 |
16 | 13 | cv 1482 | . . . . . . . . 9 |
17 | 16 | csn 4177 | . . . . . . . 8 |
18 | 15, 17 | cdif 3571 | . . . . . . 7 |
19 | 18 | cuni 4436 | . . . . . 6 |
20 | 14, 19, 16 | cif 4086 | . . . . 5 |
21 | 13, 10, 20 | cmpt 4729 | . . . 4 |
22 | 4, 12, 21 | cmpt 4729 | . . 3 |
23 | 2, 3, 22 | cmpt 4729 | . 2 |
24 | 1, 23 | wceq 1483 | 1 pmTrsp |
Colors of variables: wff setvar class |
This definition is referenced by: pmtrfval 17870 |
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