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This is the long overdue instance
has_mem (set α) (filter α)
. It gets rid of countless.sets
and parentheses, and make every filter use closer to the real world thing. There are still a couple of inconveniences: of course we still have a couple of lemmas about the sets of a filter, and rewriting using them is not always possible, even though the instance is reducible. The workaround is to add a couple ofshow
orchange
, or type ascriptions when using the funny triangle. I also addedmem_infi
to replace many uses ofinfi_sets_eq
.A weirder thing is in
asymptotics.lean
whereuse
times out. I replaced those bbyrefine
and everything works smoothly.