Goals from Riyad Mahrez and Leonardo Ulloa gave the Foxes a commanding 2-0 lead at the half-time break, before the Argentine striker added a third on the hour mark.
Marc Albrighton lashed home a fourth in the closing minutes as Claudio Ranieri's side - who have three games left - took a big step toward completing the fairytale which, under the circumstances, might be the most incredible sporting achievement in history.
Much of the pre-match talk had centered around whether City could still win without 22-goal Jamie Vardy, who sat this one out due to a one-match ban, but his replacement Ulloa and his team-mates answered those questions emphatically this afternoon.
And Shearer summed up the performance perfectly on Twitter.
Leicester fans also summed it up toward the end, breaking into a chorus of "4-0, to the one-man team" in a tongue-in-cheek gesture which reflected the type of atmosphere at the King Power.
Vardy has been one of, if not the best players in the division this season, but Ranieri and co certainly proved they can do it without him today.