I think the parent meant "`for any choice of (∀) nutrient, pasteurization kills nutrient` evaluates to false" Rather than "`any nutrient (∃), pasteurization

I think the parent meant "`for any choice of (∀) nutrient, pasteurization kills nutrient` evaluates to false" Rather than "`any nutrient (∃), pasteurization kills nutrient` evaluates to false" - which is what you seem to be responding to.