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[Merged by Bors] - feat: more facts on measures in topological groups #8286

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@sgouezel sgouezel commented Nov 9, 2023

Prerequisites for #8198


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@sgouezel sgouezel added awaiting-review t-topology Topological spaces, uniform spaces, metric spaces, filters t-measure-probability Measure theory / Probability theory labels Nov 9, 2023
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Thanks!
bors d+

@@ -592,6 +611,13 @@ theorem isOpenPosMeasure_of_mulLeftInvariant_of_regular [Regular μ] (h₀ : μ
#align measure_theory.is_open_pos_measure_of_mul_left_invariant_of_regular MeasureTheory.isOpenPosMeasure_of_mulLeftInvariant_of_regular
#align measure_theory.is_open_pos_measure_of_add_left_invariant_of_regular MeasureTheory.isOpenPosMeasure_of_addLeftInvariant_of_regular

/-- A nonzero left-invariant inner regular measure gives positive mass to any open set. -/
@[to_additive "A nonzero left-invariant inner regular measure gives positive mass to any open set."]
theorem isOpenPosMeasure_of_mulLeftInvariant_of_innerRegular [InnerRegular μ] (h₀ : μ ≠ 0) :
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If you use NeZero μ instead of μ ≠ 0 you can turn this theorem into an instance.

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mathlib-bors bot commented Nov 10, 2023

✌️ sgouezel can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

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bors r+

@github-actions github-actions bot added the ready-to-merge This PR has been sent to bors. label Nov 11, 2023
mathlib-bors bot pushed a commit that referenced this pull request Nov 11, 2023
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mathlib-bors bot commented Nov 11, 2023

Pull request successfully merged into master.

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@mathlib-bors mathlib-bors bot changed the title feat: more facts on measures in topological groups [Merged by Bors] - feat: more facts on measures in topological groups Nov 11, 2023
@mathlib-bors mathlib-bors bot closed this Nov 11, 2023
@mathlib-bors mathlib-bors bot deleted the SG_group_measure branch November 11, 2023 07:17
grunweg pushed a commit that referenced this pull request Dec 15, 2023
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3 participants