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A WIP branch where I was switching from finsets to fintype per Mario's suggestion in
https://leanprover.zulipchat.com/#narrow/stream/113489-new-members/topic/getting.20a.20nicer.20induction.20hypothesis.20from.20finset.2Einduction/near/134558327
See also https://leanprover.zulipchat.com/#narrow/stream/113489-new-members/topic/finset.20of.20subtype.20from.20filter
Lots to try to merge, still on an old nightly of Lean...