Description: A loop (which is an edge at index J ) induces a path of length 1 from a vertex to itself in a hypergraph. (Contributed by AV, 1-Feb-2021)
Ref | Expression | ||
---|---|---|---|
Hypothesis | lppthon.i | |
|
Assertion | lppthon | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | lppthon.i | |
|
2 | eqid | |
|
3 | eqid | |
|
4 | 1 | lpvtx | |
5 | simpl3 | |
|
6 | eqid | |
|
7 | eqneqall | |
|
8 | 6 7 | ax-mp | |
9 | 8 | adantl | |
10 | eqid | |
|
11 | 2 3 4 4 5 9 10 1 | 1pthond | |