Metamath Proof Explorer

Theorem eupthiswlk

Description: An Eulerian path is a walk. (Contributed by AV, 6-Apr-2021)

Ref Expression
Assertion eupthiswlk 
|- ( F ( EulerPaths ` G ) P -> F ( Walks ` G ) P )

Proof

Step Hyp Ref Expression
1 eupthistrl 
 |-  ( F ( EulerPaths ` G ) P -> F ( Trails ` G ) P )
2 trliswlk 
 |-  ( F ( Trails ` G ) P -> F ( Walks ` G ) P )
3 1 2 syl 
 |-  ( F ( EulerPaths ` G ) P -> F ( Walks ` G ) P )