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add itv_closureE, itv_interiorE, and helper lemmas#1848

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t6s wants to merge 2 commits intomath-comp:masterfrom
t6s:real_itv_open_ends
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add itv_closureE, itv_interiorE, and helper lemmas#1848
t6s wants to merge 2 commits intomath-comp:masterfrom
t6s:real_itv_open_ends

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@t6s t6s commented Feb 16, 2026

Motivation for this change

Reviewing PR #1674 , it was noticed that there is not much theory
connecting closure/interior operators and set-intervals.
This PR adds lemmas to amend that, especially itv_interiorE and itv_closureE
stating that the interior/closure of an interval is an open/closed interval respectively,
for intervals in realFieldType.

This should resolve the following comment:
https://github.com/math-comp/analysis/pull/1674/changes/BASE..34697b2642259157cd3678e64092864dcd0ca4ef#r2685444293

Checklist
  • added corresponding entries in CHANGELOG_UNRELEASED.md
  • added corresponding documentation in the headers

Reference: How to document

Merge policy

As a rule of thumb:

  • PRs with several commits that make sense individually and that
    all compile are preferentially merged into master.
  • PRs with disorganized commits are very likely to be squash-rebased.
Reminder to reviewers

@t6s t6s requested a review from affeldt-aist February 16, 2026 10:12
@t6s t6s mentioned this pull request Feb 16, 2026
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