Commit 2022-04-09 19:44 cc65716e
View on Github →refactor(analysis/complex): replace diff_on_int_cont
with diff_cont_on_cl
(#13148)
Use "differentiable on a set and continuous on its closure" instead of "continuous on a set and differentiable on its interior".
There are a few reasons to prefer the latter:
- it has better "composition" lemma;
- it allows us to talk about functions that are, e.g., differentiable on
{z : ℂ | abs z < 1 ∧ (re z < 0 ∨ im z ≠ 0)}
and continuous on the closed unit disk. Also generalizeeq_on_of_eq_on_frontier
from a compact set to a bounded set (so that it works, e.g., for the unit ball in a Banach space). This PR does not move the filediff_on_int_cont
to make the diff more readable; the file will be moved in another PR.