Theorem relelrni

Description: The second argument of a binary relation belongs to its range. (Contributed by NM, 28-Apr-2015)

	Ref	Expression
Hypothesis	releldm.1	|- Rel R
Assertion	relelrni	|- ( A R B -> B e. ran R )

Proof

Step	Hyp	Ref	Expression
1		releldm.1	|- Rel R
2		relelrn	|- ( ( Rel R /\ A R B ) -> B e. ran R )
3	1 2	mpan	|- ( A R B -> B e. ran R )