In a manner that follows naturally or inevitably as a consequence; as a necessary inference or corollary.
From corollarial (relating to a corollary) plus -ly (manner adverb), creating an adverb form to describe how something happens as a natural consequence or following logically.
When a speaker uses corollarially, they're saying something follows so naturally from what came before that you should have expected it—it's a fancy way of saying 'obviously' or 'and therefore.'
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