From Wiktionary, the free dictionary
From hyper- (“excessive”) + negation.
hypernegation (uncountable)
- Negation that reinforces, rather than cancels, other negation in a sentence.[1]
Examples
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Not with my son, you won't.
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- ^ “Negation”, in Stanford Encyclopedia of Philosophy, 2015 January 7, § "Negative concord and its relations"