Story highlights The theories, named "Pizza gate," have circulated online despite having zero credible evidence to support them

Michael G. Flynn is the son, chief of staff and top aide of retired Lt. Gen. Mike Flynn

Washington (CNN) The son of Donald Trump's incoming national security adviser continued to push a fictitious online conspiracy theory about a Washington, DC, pizza restaurant on Sunday as police arrested an armed man who said he had come to investigate.

Michael G. Flynn is the son of chief of staff and top aide of his father, retired Lt. Gen. Mike Flynn, who Trump has named as his national security adviser -- a post that does not require Senate confirmation.

On Sunday, a man was arrested for bringing a weapon into a DC pizza restaurant filled with families, telling police he had come to investigate a baseless conspiracy theory that had been circulating online. Later that day, the younger Flynn tweeted that until the fictitious story was "proven" untrue, it would continue.

"Until #Pizzagate proven to be false, it'll remain a story. The left seems to forget #PodestaEmails and the many 'coincidences' tied to it," the younger Flynn tweeted.

Until #Pizzagate proven to be false, it'll remain a story. The left seems to forget #PodestaEmails and the many "coincidences" tied to it. https://t.co/8HA9y30Yfp — Michael G Flynn🇺🇸 (@mflynnJR) December 5, 2016

He later retweeted a person whose profile identifies him as special projects director for a group called "Citizens4Trump" defending the tweet, arguing that Flynn was calling for the theory to be disproven. But he also continued to retweet that individual and others who promoted the baseless theory.

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