Commit 2020-12-14 08:35 6f69741b
View on Github →chore(analysis/calculus/*): rename *.of_local_homeomorph
to local_homeomorph.*_symm
(#5358)
Rename some lemmas, and make (f : local_homeomorph _ _)
an explicit argument:
has_fderiv_at.of_local_homeomorph
→local_homeomorph.has_fderiv_at_symm
;times_cont_diff_at.of_local_homeomorph
→local_homeomorph.times_cont_diff_at_symm
. If we want to apply one of these lemmas to prove smoothness of, e.g.,arctan
,log
, orarcsin
, then the goal has nolocal_homeomorph.symm
, and we need to explicitly supply alocal_homeomorph
with an appropriateinv_fun
. Also add some lemmas that help to prove that the inverse function is not differentiable at a point.