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[Merged by Bors] - feat: a conditional kernel is almost everywhere a probability measure #20430

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@RemyDegenne RemyDegenne added blocked-by-other-PR This PR depends on another PR to Mathlib (this label is automatically managed by a bot) t-measure-probability Measure theory / Probability theory labels Jan 3, 2025
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github-actions bot commented Jan 3, 2025

PR summary faf0d1381f

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ IsCondKernel.isProbabilityMeasure_ae
+ ae_le_const_iff_forall_gt_measure_zero

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

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

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


No changes to technical debt.

You can run this locally as

./scripts/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).

@leanprover-community-bot-assistant leanprover-community-bot-assistant added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jan 3, 2025
@leanprover-community-bot-assistant leanprover-community-bot-assistant removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jan 3, 2025
@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot removed the blocked-by-other-PR This PR depends on another PR to Mathlib (this label is automatically managed by a bot) label Jan 4, 2025
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sgouezel commented Jan 5, 2025

bors r+
Thanks!

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mathlib-bors bot commented Jan 5, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: a conditional kernel is almost everywhere a probability measure [Merged by Bors] - feat: a conditional kernel is almost everywhere a probability measure Jan 5, 2025
@mathlib-bors mathlib-bors bot closed this Jan 5, 2025
@mathlib-bors mathlib-bors bot deleted the RD_condMarkov branch January 5, 2025 13:43
Julian added a commit that referenced this pull request Jan 5, 2025
* origin/master: (133 commits)
  chore(1000): remove nonexistent fields (#20493)
  chore(CategoryTheory/Adjunction.Basic, CategoryTheory/Equivalence): change definition of `Adjunction.comp` and `Equivalence.trans` (#20490)
  feat(Asymptotics): add `Asymptotics.*.*Prod` lemmas (#20458)
  feat: a conditional kernel is almost everywhere a probability measure (#20430)
  feat: if `f` is a measurable group hom, then every point has a neighborhood `s` such that `f '' s` is bounded (#20304)
  feat: `Ico`, `Ioc`, and `Ioo` are not closed or compact (#20479)
  chore: drop redundant hypothesis in `Module.Dual.eq_of_preReflection_mapsTo` (#20492)
  feat(FaaDiBruno): derive `DecidableEq` (#20482)
  chore(SetTheory/Ordinal/Basic): `{x // x < y}` → `Iio y` (#20413)
  chore: generalize `FormalMultilinearSeries.ofScalars_norm` to `Seminormed` (#20351)
  chore(MvPolynomial/Localization): golf using TensorProduct (#20309)
  chore(Combinatorics/Enumerative/Partition): auto-derive DecidableEq (#20277)
  chore(CategoryTheory): make relevant parameters explicit in `Arrow.homMk`. (#20259)
  feat: add `IsStarNormal (↑x⁻¹ : R)` instance for `x : Rˣ` (#20091)
  fix: Stop cancelling builds of master (#20435)
  chore: update Mathlib dependencies 2025-01-05 (#20485)
  feat(SetTheory/Cardinal/Arithmetic): miscellaneous cardinality lemmas (#18933)
  chore: bump toolchain to v4.16.0-rc1, and merge bump/v4.16.0 (#20464)
  chore: bot validates lean-toolchain on bump/v4.X.0 branches (#20478)
  feat: shorthand lemmas for the L1 norm (#20383)
  chore: remove unnecessary adaptation notes (#20467)
  chore(Algebra/Category/MonCat/Colimits): remove smallness condition (#20473)
  chore(SetTheory/Ordinal/Arithmetic): `IsLeftCancelAdd Ordinal` (#19888)
  feat(Algebra): more on `OrthogonalIdempotents` (#18195)
  feat(Radical): `(radical a).natDegree ≤ a.natDegree` (#20468)
  feat(Polynomial): `(a^n)' = 0` iff `a' = 0` when `n` doesn't divide the characteristic (#20190)
  feat(Algebra/Lie): add Lie's theorem (#13480)
  chore(RingTheory/Generators): make algebra instance a def (#14265)
  feat(Topology/Group): Lemmas about profinite group (#20282)
  feat: the empty set is a topological basis iff the space is empty (#20441)
  chore: make uniqueness of conditionally complete linearly ordered archimedean fields independent of the construction of `Real` (#20242)
  chore: `inherit_doc`s for notations (#20376)
  chore: split AEEqOfIntegral into two files, one for each integral type (#20405)
  chore: split Kernel/MeasurableIntegral (#20427)
  feat(MeasureTheory/Group/Measure): add ContinuousMulEquiv.isHaarMeasure_map (#20469)
  fix(Mathlib.Tactic.CC.Datatypes): `cc` raises panic (#20422)
  feat(Probability/Moments): add lemmas about moment generating functions (#19886)
  feat(Algebra/Order/AddGroupWithTop): lemmas about LinearOrderedAddCommGroupWithTop (#18954)
  chore: bump toolchain to v4.15.0 (#20461)
  chore: update Mathlib dependencies 2025-01-04 (#20463)
  fix: make `Prod` projection delaborators respond to options, add option to disable (#20455)
  chore(Algebra): Improve attribute generation (#20451)
  feat(Polynomial): `(C a * p).degree = p.degree` if `a * p.leadingCoeff ≠ 0` (#20446)
  feat: add `ENNReal.finStronglyMeasurable_of_measurable` (#20404)
  doc(Algebra/Lie/Weights/Basic): fix typo (#20450)
  chore(1000): remove `identifiers` (#20445)
  feat: add sumPiEquivProdPi and piUnique (#20195)
  feat: add fst_compProd_apply (#20429)
  chore: use unsigned measures for Lebesgue decomposition (#20400)
  feat: Two lemmas on divisibility and coprimality of `expand` (#20143)
  ...
Julian added a commit that referenced this pull request Jan 6, 2025
* origin/master: (189 commits)
  chore(Algebra): make more names consistent (#20449)
  feat: Polynomial FLT (#18882)
  feat: A disjoint union is finite iff all sets are finite, and all but finitely many are empty (#20457)
  fix: linkfix in 100.yaml (#20517)
  feat(1000): fill in more entries (#20470)
  feat(Combinatorics/SimpleGraph/Walk): add `penultimate` and `snd` (#16769)
  feat(ContinuousMultilinearMap): add lemmas about `.prod` (#20462)
  feat(RingTheory): classification of etale algebras over fields (#20324)
  fix: Allow multiple builds on staging branch (#20515)
  feat(CategoryTheory/Shift/Adjunction): properties of `Adjunction.CommShift` (#20337)
  chore(Data/Multiset/Basic): move the `sub`, `union`, `inter` sections lower (#19863)
  chore(Topology/UniformSpace/Completion): make coe' argument implicit (#20514)
  refactor(Algebra/Category/Grp/Colimits): change the construction of colimits in `AddCommGrp` (#20474)
  feat(Topology/Algebra/InfiniteSum/NatInt): Add pnat lems (#16544)
  chore(RingTheory/Finiteness): rename Module.Finite.out (#20506)
  refactor(CategoryTheory/Limits/Preserves/Ulift): simplify the proof that the universe lifting functor for types preserves all colimits (#20508)
  feat(CategoryTheory): products in the category of Ind-objects (#20507)
  chore: remove >9 month old deprecations (#20505)
  chore(FieldTheory/Galois): small cleanup (#20217)
  chore(LinearIndependent): generalize to semirings (#20480)
  chore(NumberTheory/NumberField/AdeleRing): refactor adele rings (#20500)
  chore: replace `aesop` with `simp` where possible (#20483)
  chore(1000): remove nonexistent fields (#20493)
  chore(CategoryTheory/Adjunction.Basic, CategoryTheory/Equivalence): change definition of `Adjunction.comp` and `Equivalence.trans` (#20490)
  feat(Asymptotics): add `Asymptotics.*.*Prod` lemmas (#20458)
  feat: a conditional kernel is almost everywhere a probability measure (#20430)
  feat: if `f` is a measurable group hom, then every point has a neighborhood `s` such that `f '' s` is bounded (#20304)
  feat: `Ico`, `Ioc`, and `Ioo` are not closed or compact (#20479)
  chore: drop redundant hypothesis in `Module.Dual.eq_of_preReflection_mapsTo` (#20492)
  feat(FaaDiBruno): derive `DecidableEq` (#20482)
  chore(SetTheory/Ordinal/Basic): `{x // x < y}` → `Iio y` (#20413)
  chore: generalize `FormalMultilinearSeries.ofScalars_norm` to `Seminormed` (#20351)
  chore(MvPolynomial/Localization): golf using TensorProduct (#20309)
  chore(Combinatorics/Enumerative/Partition): auto-derive DecidableEq (#20277)
  chore(CategoryTheory): make relevant parameters explicit in `Arrow.homMk`. (#20259)
  feat: add `IsStarNormal (↑x⁻¹ : R)` instance for `x : Rˣ` (#20091)
  fix: Stop cancelling builds of master (#20435)
  chore: update Mathlib dependencies 2025-01-05 (#20485)
  feat(SetTheory/Cardinal/Arithmetic): miscellaneous cardinality lemmas (#18933)
  chore: bump toolchain to v4.16.0-rc1, and merge bump/v4.16.0 (#20464)
  chore: bot validates lean-toolchain on bump/v4.X.0 branches (#20478)
  feat: shorthand lemmas for the L1 norm (#20383)
  chore: remove unnecessary adaptation notes (#20467)
  chore(Algebra/Category/MonCat/Colimits): remove smallness condition (#20473)
  chore(SetTheory/Ordinal/Arithmetic): `IsLeftCancelAdd Ordinal` (#19888)
  feat(Algebra): more on `OrthogonalIdempotents` (#18195)
  feat(Radical): `(radical a).natDegree ≤ a.natDegree` (#20468)
  feat(Polynomial): `(a^n)' = 0` iff `a' = 0` when `n` doesn't divide the characteristic (#20190)
  feat(Algebra/Lie): add Lie's theorem (#13480)
  chore(RingTheory/Generators): make algebra instance a def (#14265)
  ...
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