Rule 801.9 · Limited Range of Influence Option

An Equipment can’t equip an object outside its controller’s range of influence, and a Fortification can’t fortify an object outside its controller’s range of influence. If an Equipment or Fortification is attached to an illegal permanent, it becomes unattached from that permanent but remains on the battlefield. This is a state-based action. See rule 704.

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Ask the judge Pro

The life counter has an AI judge that answers your play citing the exact rules. It is part of Gatewatch Pro; the rules, Oracle text and rulings stay free.