Activate Emry by tapping it, allowing you to cast Lion's Eye Diamond from your graveyard.
Cast Lion's Eye Diamond by paying 0.
Displacer Kitten triggers, blinking Emry.
When Emry enters, it triggers, causing you to mill four cards.
Activate Lion's Eye Diamond by discarding your hand and sacrificing it.
Repeat.
This loop transforms Emry, Lurker of the Loch into a relentless engine by utilizing its tap ability to continually replay Lion's Eye Diamond from your graveyard. Every time you cast the Diamond, Displacer Kitten's passive ability triggers to blink Emry, resetting its tap ability and triggering a fresh mill of four cards upon re-entry. Meanwhile, the mana produced by sacrificing Lion's Eye Diamond fuels the repetition, and should you need to press the attack immediately, Hammer of Purphoros grants all your creatures haste to finish the job.