Description: The P function in an Eulerian path is a function from a finite sequence of nonnegative integers to the vertices. (Contributed by Mario Carneiro, 12-Mar-2015) (Revised by AV, 18-Feb-2021)
Ref | Expression | ||
---|---|---|---|
Assertion | eupthpf | |- ( F ( EulerPaths ` G ) P -> P : ( 0 ... ( # ` F ) ) --> ( Vtx ` G ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eupthiswlk | |- ( F ( EulerPaths ` G ) P -> F ( Walks ` G ) P ) |
|
2 | eqid | |- ( Vtx ` G ) = ( Vtx ` G ) |
|
3 | 2 | wlkp | |- ( F ( Walks ` G ) P -> P : ( 0 ... ( # ` F ) ) --> ( Vtx ` G ) ) |
4 | 1 3 | syl | |- ( F ( EulerPaths ` G ) P -> P : ( 0 ... ( # ` F ) ) --> ( Vtx ` G ) ) |