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Diff — Real analysis

Revision #3490 → #4033 · back to history

modifiedSeriesae67a69972d0
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mathlib.match_kind—generalization
provenanceaiai-moderated
modifiedPartial sumsb5bda41be1ba
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mathlib.match_kindinvocation—
provenanceaiai-moderated
modifiedSeries converging non-absolutely675743d8afef
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mathlib.match_kind—invocation
provenanceaiai-moderated
modifiedDini's theorem65b376e0a999
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mathlib.decl—Monotone.tendstoUniformlyOn_of_forall_tendsto
mathlib.match_kind—exact
mathlib.module—Mathlib.Topology.UniformSpace.Dini
noteDini's theorem (monotone pointwise convergence to a continuous limit on a compact set is uniform) does not appear to have a single named declaration in Mathlib.Monotone.tendstoUniformlyOn_of_forall_tendsto in Mathlib.Topology.UniformSpace.Dini is Dini's theorem: monotone pointwise convergence to a continuous limit on a compact set is uniform.
statuspartialformalized
modifiedLebesgue differentiation theoremc5d50fb93f9a
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mathlib.decl—VitaliFamily.ae_tendsto_average
mathlib.match_kind—generalization
noteMathlib has Vitali-family differentiation lemmas (tendsto_ae limits of averages over shrinking balls) but no single named 'Lebesgue differentiation theorem'.VitaliFamily.ae_tendsto_average is the Vitali-family form of Lebesgue differentiation (averages over shrinking sets converge to f a.e.), with no standalone named 'Lebesgue differentiation theorem' for balls in ℝⁿ.
modifiedPlancherel theoremc4a6c0c77986
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mathlib.decl—MeasureTheory.Lp.norm_fourier_eq
mathlib.match_kind—exact
mathlib.module—Mathlib.Analysis.Fourier.LpSpace
noteMathlib has partial Fourier-isometry results for L² but no single named Plancherel theorem declaration.MeasureTheory.Lp.norm_fourier_eq is the Plancherel identity ‖ℱf‖ = ‖f‖ on L², with MeasureTheory.Lp.instFourierTransform giving the corresponding L² isometry.
statuspartialformalized