Adding essential supremum for extended reals #1361
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Added documentation and changelog Co-authored-by: @jmmarulang
zstone1
approved these changes
Oct 31, 2024
| Definition ess_supe f := | ||
| ereal_inf ([set r | mu (f @^-1` `]r, +oo[) = 0]). | ||
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| Lemma ess_supe_ge0 f : 0 < mu [set: T] -> (forall t, 0 <= f t) -> |
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It looks like this should generalize easily to any a which is a lower bound on x. That is, ess_supe_ge0 a f : 0 < mu [set: T] -> (forall t, a <= f t) -> a <= ess_supe f. If it's easy to do that, we should. But definitely not a blocker.
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Co-authored-by: @jmmarulang
Motivation for this change
Addresses issue #1360
Checklist
added corresponding entries in
CHANGELOG_UNRELEASED.mdadded corresponding documentation in the headers
Reference: How to document
Reminder to reviewers