Description: Properties of an s-walk of edges. (Contributed by AV, 4-Jan-2021)
Ref | Expression | ||
---|---|---|---|
Hypothesis | ewlksfval.i | |
|
Assertion | ewlkprop | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ewlksfval.i | |
|
2 | df-ewlks | |
|
3 | 2 | elmpocl | |
4 | simpr | |
|
5 | 1 | isewlk | |
6 | 5 | 3expa | |
7 | 6 | biimpd | |
8 | 7 | expcom | |
9 | 8 | pm2.43a | |
10 | 9 | imp | |
11 | 3anass | |
|
12 | 4 10 11 | sylanbrc | |
13 | 3 12 | mpdan | |