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[Merged by Bors] - feat(MeasureTheory): remove an AbsolutelyContinuous hypothesis from inv_rnDeriv #8351

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@RemyDegenne RemyDegenne commented Nov 11, 2023

In order to remove that hypothesis, we also:

  • add some basic lemmas about absolute continuity and mutually singular measures.
  • add HaveLebesgueDecomposition instances
  • rewrite the proof of withDensity_rnDeriv_eq to use the new API instead of unfolding the definitions
  • generalize rnDeriv_restrict and rnDeriv_withDensity to possibly different measures

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@RemyDegenne RemyDegenne added awaiting-review The author would like community review of the PR t-measure-probability Measure theory / Probability theory labels Nov 11, 2023
@RemyDegenne RemyDegenne changed the title feat(MeasureTheory): remove a AbsolutelyContinuous hypothesis from inv_rnDeriv feat(MeasureTheory): remove an AbsolutelyContinuous hypothesis from inv_rnDeriv Nov 11, 2023
@RemyDegenne RemyDegenne added WIP Work in progress and removed awaiting-review The author would like community review of the PR labels Nov 12, 2023
@RemyDegenne RemyDegenne added awaiting-review The author would like community review of the PR and removed WIP Work in progress labels Nov 12, 2023
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This is great, thanks a lot!
bors d+

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mathlib-bors bot commented Nov 12, 2023

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

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added delegated and removed awaiting-review The author would like community review of the PR labels Nov 12, 2023
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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 12, 2023
mathlib-bors bot pushed a commit that referenced this pull request Nov 12, 2023
… `inv_rnDeriv` (#8351)

In order to remove that hypothesis, we also:
- add some basic lemmas about absolute continuity and mutually singular measures.
- add HaveLebesgueDecomposition instances
- rewrite the proof of `withDensity_rnDeriv_eq` to use the new API instead of unfolding the definitions
- generalize `rnDeriv_restrict` and `rnDeriv_withDensity` to possibly different measures
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mathlib-bors bot commented Nov 12, 2023

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(MeasureTheory): remove an AbsolutelyContinuous hypothesis from inv_rnDeriv [Merged by Bors] - feat(MeasureTheory): remove an AbsolutelyContinuous hypothesis from inv_rnDeriv Nov 12, 2023
@mathlib-bors mathlib-bors bot closed this Nov 12, 2023
@mathlib-bors mathlib-bors bot deleted the RD_inv_rnDeriv branch November 12, 2023 18:37
alexkeizer pushed a commit that referenced this pull request Nov 17, 2023
… `inv_rnDeriv` (#8351)

In order to remove that hypothesis, we also:
- add some basic lemmas about absolute continuity and mutually singular measures.
- add HaveLebesgueDecomposition instances
- rewrite the proof of `withDensity_rnDeriv_eq` to use the new API instead of unfolding the definitions
- generalize `rnDeriv_restrict` and `rnDeriv_withDensity` to possibly different measures
alexkeizer pushed a commit that referenced this pull request Nov 21, 2023
… `inv_rnDeriv` (#8351)

In order to remove that hypothesis, we also:
- add some basic lemmas about absolute continuity and mutually singular measures.
- add HaveLebesgueDecomposition instances
- rewrite the proof of `withDensity_rnDeriv_eq` to use the new API instead of unfolding the definitions
- generalize `rnDeriv_restrict` and `rnDeriv_withDensity` to possibly different measures
grunweg pushed a commit that referenced this pull request Dec 15, 2023
… `inv_rnDeriv` (#8351)

In order to remove that hypothesis, we also:
- add some basic lemmas about absolute continuity and mutually singular measures.
- add HaveLebesgueDecomposition instances
- rewrite the proof of `withDensity_rnDeriv_eq` to use the new API instead of unfolding the definitions
- generalize `rnDeriv_restrict` and `rnDeriv_withDensity` to possibly different measures
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