A vessel occluding assembly includes first and second joined vessel aperture occluders each having a vessel aperture outer contact surface that, when one of the occluders is installed in a vessel aperture, hemostasis of a respective vessels is achieved, and a flexible tether connecting at the first and second occluders together such that, when the two occluders are implanted in a respectively vessel orifice, the occluders and the tether achieve sequential hemostasis of the plurality of vessels independent of relative tensions between the vessels.
