Big Apple billionaire Nelson Peltz is ramping up his war of words with discount retailer Family Dollar.

Peltz’s investment firm, Trian, yesterday accused Family Dollar of poor corporate governance for rejecting his $7 billion bid to buy the dollar-store chain earlier this month, and demanded the removal of a “poison pill” installed to thwart a potential buyout.

Trian likewise sought to squelch talk that its Feb. 15 buyout bid wasn’t genuine. While critics note Trian has never completed a deal so large, the firm said it has been in talks with lenders who will make $5 billion available in debt financing, while writing an equity check of at least $2 billion.

Yesterday, Family Dollar said quarterly earnings beat its expectations, saying that it’s “executing well against its strategic plan.”