Description: The set of indexed edges of a graph represented as an ordered pair of vertices and indexed edges as function value. (Contributed by AV, 4-Mar-2021)
Ref | Expression | ||
---|---|---|---|
Hypotheses | opvtxfvi.v | |- V e. _V |
|
opvtxfvi.e | |- E e. _V |
||
Assertion | opiedgfvi | |- ( iEdg ` <. V , E >. ) = E |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | opvtxfvi.v | |- V e. _V |
|
2 | opvtxfvi.e | |- E e. _V |
|
3 | opiedgfv | |- ( ( V e. _V /\ E e. _V ) -> ( iEdg ` <. V , E >. ) = E ) |
|
4 | 1 2 3 | mp2an | |- ( iEdg ` <. V , E >. ) = E |