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@KevinBuzzard Even if I had proved 2 > 0 on the previous line, I had to prove it again on this line -- Maybe this part of Lean should have been fixed instead? I know nothing about proof assistants, but this sounds totally unreasonable.
@none That example is not very good IMHO. Those existentially quantified variables could simply be replaced by Skolem functions of the variables that they actually depend on.