The formula ((p V q) -> (p V r)) -> (p V (q -> r)) isn't valid intuitionistically, though (you can get excluded middle from it by taking q=p and r=⊥), so there'

The formula ((p V q) -> (p V r)) -> (p V (q -> r)) isn't valid intuitionistically, though (you can get excluded middle from it by taking q=p and r=⊥), so there's no reason to want an intuitionstic proof.