Papacy
Isaiah 22:22
And I will lay the key of the house of David upon his shoulder: and he shall open, and none shall shut: and he shall shut, and none shall open.
Context of the passage
God removes the unfaithful steward Sebna and installs Eliacim as royal steward over the Davidic household, giving him the 'key,' a symbol of stewardship authority under the king.
Catholic reading
This royal office of prime minister ('master of the household') is the Old Testament background Jesus deliberately evokes when giving Peter 'the keys of the kingdom' in Matthew 16:19, showing he establishes a similar office of chief steward under the King.
Common objection
This is a specific historical prophecy about an 8th-century BC official, unrelated to Peter.
Response
Jesus' near-verbatim echo of this key/binding-loosing language when addressing Peter shows he intentionally applies the Davidic steward pattern to the New Covenant, establishing Peter as prime minister of the messianic kingdom.