dead set
1 of 2phrase
: firmly determined
The mayor was dead set against[=strongly opposed to] the plan.
She was dead set on[=completely certain about] going to college.
set against; setting against; sets against
: feeling strongly that one does not want (something) or will not do (something)
Everyone was set against going.
He was dead set against the deal.
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Merriam-Webster unabridged



