Are insects killed by pesticides safe as ant food?

Currently, I've a fledgling colony of quite carnivorous ants, preferring dead insects over fruit, bread, or even honey. Recently, an exterminator sprayed around our house and especially (I presume) the patio, where I found two good dead insects that could serve as food for the ants. But I'm worried that the... show more Currently, I've a fledgling colony of quite carnivorous ants, preferring dead insects over fruit, bread, or even honey. Recently, an exterminator sprayed around our house and especially (I presume) the patio, where I found two good dead insects that could serve as food for the ants. But I'm worried that the fact that the pesticides are likely what killed them, it would also -- obviously -- harm my ants if somehow retained in the dead bugs.

Is that true?
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