Description: A finitary permutation has at least one representation for its parity. (Contributed by Stefan O'Rear, 28-Aug-2015)
Ref | Expression | ||
---|---|---|---|
Hypotheses | psgnval.g | |
|
psgnval.t | |
||
psgnval.n | |
||
Assertion | psgnvali | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | psgnval.g | |
|
2 | psgnval.t | |
|
3 | psgnval.n | |
|
4 | 1 2 3 | psgnval | |
5 | 1 2 3 | psgneu | |
6 | iotacl | |
|
7 | 5 6 | syl | |
8 | 4 7 | eqeltrd | |
9 | fvex | |
|
10 | eqeq1 | |
|
11 | 10 | anbi2d | |
12 | 11 | rexbidv | |
13 | 9 12 | elab | |
14 | 8 13 | sylib | |