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Mirrors > Home > MPE Home > Th. List > df-evpm | Structured version Visualization version Unicode version |
Description: Define the set of even permutations on a given set. (Contributed by Stefan O'Rear, 9-Jul-2018.) |
Ref | Expression |
---|---|
df-evpm | pmEven pmSgn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cevpm 17910 | . 2 pmEven | |
2 | vd | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | 2 | cv 1482 | . . . . . 6 |
5 | cpsgn 17909 | . . . . . 6 pmSgn | |
6 | 4, 5 | cfv 5888 | . . . . 5 pmSgn |
7 | 6 | ccnv 5113 | . . . 4 pmSgn |
8 | c1 9937 | . . . . 5 | |
9 | 8 | csn 4177 | . . . 4 |
10 | 7, 9 | cima 5117 | . . 3 pmSgn |
11 | 2, 3, 10 | cmpt 4729 | . 2 pmSgn |
12 | 1, 11 | wceq 1483 | 1 pmEven pmSgn |
Colors of variables: wff setvar class |
This definition is referenced by: evpmss 19932 psgnevpmb 19933 |
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