Theorem opiedgov

Description: The set of indexed edges of a graph represented as an ordered pair of vertices and indexed edges as operation value. (Contributed by AV, 21-Sep-2020)

	Ref	Expression
Assertion	opiedgov	|- ( ( V e. X /\ E e. Y ) -> ( V iEdg E ) = E )

Proof

Step	Hyp	Ref	Expression
1		df-ov	|- ( V iEdg E ) = ( iEdg ` <. V , E >. )
2		opiedgfv	|- ( ( V e. X /\ E e. Y ) -> ( iEdg ` <. V , E >. ) = E )
3	1 2	syl5eq	|- ( ( V e. X /\ E e. Y ) -> ( V iEdg E ) = E )