[Merged by Bors] - refactor(analysis/complex): replace diff_on_int_cont with diff_cont_on_cl
#13148
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…t_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 generalize `eq_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 file `diff_on_int_cont` to make the diff more readable; the file will be moved in another PR.
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…t_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 generalize `eq_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 file `diff_on_int_cont` to make the diff more readable; the file will be moved in another PR.
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…t_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 generalize `eq_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 file `diff_on_int_cont` to make the diff more readable; the file will be moved in another PR.
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diff_on_int_cont with diff_cont_on_cldiff_on_int_cont with diff_cont_on_cl
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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:
{z : ℂ | abs z < 1 ∧ (re z < 0 ∨ im z ≠ 0)}and continuous on the closed unit disk.Also generalize
eq_on_of_eq_on_frontierfrom 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 file
diff_on_int_contto make the diff more readable; the file will be moved in another PR.