Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
feat(analysis/convex/{basic,function}): add lemmas, golf (#11608)
* add `segment_subset_iff`, `open_segment_subset_iff`, use them to golf some proofs; * add `mem_segment_iff_div`, `mem_open_segment_iff_div`, use the former in the proof of `convex_iff_div`; * move the proof of `mpr` in `convex_on_iff_convex_epigraph` to a new lemma; * prove that the strict epigraph of a convex function include the open segment provided that one of the endpoints is in the strong epigraph and the other is in the epigraph; use it in the proof of `convex_on.convex_strict_epigraph`.
- Loading branch information
Showing
3 changed files
with
97 additions
and
95 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters