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feat(MeasureTheory): Outer regular measures are determined by values on bounded open sets#37312

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CoolRmal wants to merge 6 commits intoleanprover-community:masterfrom
CoolRmal:outerregularext
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feat(MeasureTheory): Outer regular measures are determined by values on bounded open sets#37312
CoolRmal wants to merge 6 commits intoleanprover-community:masterfrom
CoolRmal:outerregularext

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@CoolRmal
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We proved that

  • Every open set in a metric space is a countable union of bounded open sets.
  • Outer regular measures are determined by values on bounded open sets.

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github-actions bot commented Mar 28, 2026

PR summary 20c47e339c

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ eq_countable_union_of_bounded_of_isOpen
+ ext_isOpen_isBounded

You can run this locally as follows
## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.


No changes to technical debt.

You can run this locally as

./scripts/reporting/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@Multramate Multramate added the t-measure-probability Measure theory / Probability theory label Apr 2, 2026
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3 participants