[Merged by Bors] - feat(FTaylorSeries): add lemmas about dist between 0th and 1st derivs
#20089
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PR summary c26a1c858fImport changes for modified filesNo significant changes to the import graph Import changes for all files
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| Current number | Change | Type |
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| 4860 | -1 | porting notes |
Current commit c26a1c858f
Reference commit 933ad54938
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- The
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
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…vs (#20089) These lemmas are useful to specialize conditions like $$C^{k+\alpha}$$ to low order derivatives.
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dist between 0th and 1st derivsdist between 0th and 1st derivs
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* origin/master: (642 commits) feat: the Boolean subalgebra generated by the lattice generated by a set (#20440) feat: misc. lemmas about moments, tilted measures (#20150) chore(Algebra/Lie): make IsNilpotent and IsSolvable independent of scalars (#20556) feat(Combinatorics/SimpleGraph/Path): add `IsPath.getVert_injOn` (#19373) feat(Combinatorics/SimpleGraph): add lemmas about `spanningCoe` (#19377) chore: scope 'on' notation to Function (#20562) chore: disable docPrime linter (#20559) chore: deprecate MulRingNorm._ in favour of AbsoluteValue._ (#20557) fix(scripts/bench_summary): input jobID as a Nat, rather than a String (#20539) chore: move results about `DivisionMonoid` + `HasDistribNeg` (#20551) feat(NumberTheory/NumberField/Embeddings): definition of totally real field (#20542) chore(Noetherian/Artinian): generalize to Semiring (#20534) chore: protect `Filter.nhds_{iInf,inf}` (#20530) chore(AlgebraicTopology): move SplitSimplicialObject.lean (#20511) chore: extract 3 new files out of MeasureSpace (#20509) feat(RingTheory): Jacobian criterion for smoothness of local algebras (#20326) doc(RingTheory/Flat): add reference to Lambek's paper (#20266) feat(NumberTheory/AbelSummation): add more results (#19942) chore(Multilinear/Basic): generalize the `SMul` instance (#20536) feat(FDeriv/Equiv): generalize `HasFDerivAt.of_local_left_inverse` (#20516) feat(ContDiff): add `iteratedFDeriv_comp` (#20472) feat(LowerUpperTopology): add lemmas (#20465) feat(ContDiff): weaken some assumptions (#20368) fix(scripts/technical-debt-metric): avoid division by 0 (#20537) chore(Algebra/Ring): Clean up in SumsOfSquares and Semireal/Defs (#20528) feat(FTaylorSeries): add lemmas about `dist` between 0th and 1st derivs (#20089) feat: results on inner regularity of finite measures (#19780) chore: to_additive various results on groups, group actions (#20547) feat(Probability/Kernel): `Kernel.sectL` and `sectR` (#15466) chore(CategoryTheory/Limits/Fubini): relax universes constraints and weaken hypotheses (#20553) perf: remove `@[simp]` on `Fintype.card_of{IsEmpty,Subsingleton}` (#20524) fix(HashCommandLinter): remove unnecessary, broken workaround for tests (#20529) chore(Ideal/Basic): dependent generalization of `Ideal.pi` (#20535) feat(RingTheory): being unramified is a local property (#20323) chore(BooleanSubalgebra): use `IsSublattice` in `closure_sdiff_sup_induction` (#20439) feat(Order/SuccPred/CompleteLinearOrder): `⨆ a < x, succ a = x` (#19970) chore(*): replace `no_index (ofNat n)` with `ofNat(n)` everywhere (#20521) feat(CategoryTheory/Triangulated/Adjunction): the right adjoint of a triangulated functor is triangulated (#20255) chore(Order/SuccPred/LinearLocallyFinite): change data-creating instances to defs (#20235) chore: don't import algebra in `Data.Finset.Basic` (#19779) feat: initial segment commutes with `Iio` (#20503) chore(Measure/Pi): move parts to `MeasurableSpace/` (#20215) chore: smile more often (#20436) chore(Algebra/Category/MonCat/ForgetCorepresentable, Algebra/Group/Equiv/Basic): move definitions and add symmetric version (#20416) feat(GroupTheory/QuotientGroup): group correspondence theorem (#20007) doc: change "module homomorphism" to "linear map" (#20481) perf: improves the performance of the `Repr (Equiv.Perm α)` instance (1/4) (#20519) fix: do not keep only the first line of hints (#19756) feat(Analysis/Analytic): lemmas about `smul` for power series (#19816) chore: don't import algebra in `Data.Multiset.Basic` (#19775) ...
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* origin/master: (80 commits) chore(CategoryTheory): remove data produced by tactic block (#20565) feat: `|∫ a, f a ∂μ| ≤ ∫ a, |f a| ∂μ` (#20540) feat: the Boolean subalgebra generated by the lattice generated by a set (#20440) feat: misc. lemmas about moments, tilted measures (#20150) chore(Algebra/Lie): make IsNilpotent and IsSolvable independent of scalars (#20556) feat(Combinatorics/SimpleGraph/Path): add `IsPath.getVert_injOn` (#19373) feat(Combinatorics/SimpleGraph): add lemmas about `spanningCoe` (#19377) chore: scope 'on' notation to Function (#20562) chore: disable docPrime linter (#20559) chore: deprecate MulRingNorm._ in favour of AbsoluteValue._ (#20557) fix(scripts/bench_summary): input jobID as a Nat, rather than a String (#20539) chore: move results about `DivisionMonoid` + `HasDistribNeg` (#20551) feat(NumberTheory/NumberField/Embeddings): definition of totally real field (#20542) chore(Noetherian/Artinian): generalize to Semiring (#20534) chore: protect `Filter.nhds_{iInf,inf}` (#20530) chore(AlgebraicTopology): move SplitSimplicialObject.lean (#20511) chore: extract 3 new files out of MeasureSpace (#20509) feat(RingTheory): Jacobian criterion for smoothness of local algebras (#20326) doc(RingTheory/Flat): add reference to Lambek's paper (#20266) feat(NumberTheory/AbelSummation): add more results (#19942) chore(Multilinear/Basic): generalize the `SMul` instance (#20536) feat(FDeriv/Equiv): generalize `HasFDerivAt.of_local_left_inverse` (#20516) feat(ContDiff): add `iteratedFDeriv_comp` (#20472) feat(LowerUpperTopology): add lemmas (#20465) feat(ContDiff): weaken some assumptions (#20368) fix(scripts/technical-debt-metric): avoid division by 0 (#20537) chore(Algebra/Ring): Clean up in SumsOfSquares and Semireal/Defs (#20528) feat(FTaylorSeries): add lemmas about `dist` between 0th and 1st derivs (#20089) feat: results on inner regularity of finite measures (#19780) chore: to_additive various results on groups, group actions (#20547) feat(Probability/Kernel): `Kernel.sectL` and `sectR` (#15466) chore(CategoryTheory/Limits/Fubini): relax universes constraints and weaken hypotheses (#20553) perf: remove `@[simp]` on `Fintype.card_of{IsEmpty,Subsingleton}` (#20524) fix(HashCommandLinter): remove unnecessary, broken workaround for tests (#20529) chore(Ideal/Basic): dependent generalization of `Ideal.pi` (#20535) feat(RingTheory): being unramified is a local property (#20323) chore(BooleanSubalgebra): use `IsSublattice` in `closure_sdiff_sup_induction` (#20439) feat(Order/SuccPred/CompleteLinearOrder): `⨆ a < x, succ a = x` (#19970) chore(*): replace `no_index (ofNat n)` with `ofNat(n)` everywhere (#20521) feat(CategoryTheory/Triangulated/Adjunction): the right adjoint of a triangulated functor is triangulated (#20255) chore(Order/SuccPred/LinearLocallyFinite): change data-creating instances to defs (#20235) chore: don't import algebra in `Data.Finset.Basic` (#19779) feat: initial segment commutes with `Iio` (#20503) chore(Measure/Pi): move parts to `MeasurableSpace/` (#20215) chore: smile more often (#20436) chore(Algebra/Category/MonCat/ForgetCorepresentable, Algebra/Group/Equiv/Basic): move definitions and add symmetric version (#20416) feat(GroupTheory/QuotientGroup): group correspondence theorem (#20007) doc: change "module homomorphism" to "linear map" (#20481) perf: improves the performance of the `Repr (Equiv.Perm α)` instance (1/4) (#20519) fix: do not keep only the first line of hints (#19756) ...
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These lemmas are useful to specialize conditions like$$C^{k+\alpha}$$
to low order derivatives.