mathlib3
db712d59 - chore(*): simp lemmas for `tendsto`, `Ixx`, and `coe` (#5296)

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5 years ago
chore(*): simp lemmas for `tendsto`, `Ixx`, and `coe` (#5296) * For `(f : α → β) (l : filter β)`, simplify `tendsto (λ a : Ixx*, f x) at_top l` to `tendsto f _ l`, and similarly for `at_bot`. * For `(f : α → Ixx*) (l : filter α)`, simplify `tendsto f l at_top` to `tendsto (λ x, (f x : β)) l _`, and similarly for `at_bot`. Here `Ixx*` is one of the intervals `Ici a`, `Ioi a`, `Ioo a b` etc, and `_` is a filter that depends on the choice of `Ixx` and `at_top`/`at_bot`. * Drop some “nontriviality” assumptions like `no_top_order` for lemmas about `Ioi a`.
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