Metamath Proof Explorer


Theorem relin2

Description: The intersection with a relation is a relation. (Contributed by NM, 17-Jan-2006)

Ref Expression
Assertion relin2 RelBRelAB

Proof

Step Hyp Ref Expression
1 inss2 ABB
2 relss ABBRelBRelAB
3 1 2 ax-mp RelBRelAB