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Theorems · Theorem · measure theory

Finset.measurable_restrict

∀ {δ : Type u_4} {X : δ → Type u_6} [inst : (a : δ) → MeasurableSpace (X a)] (s : Finset δ), Measurable s.restrict
Defined in
Mathlib.MeasureTheory.MeasurableSpace.Constructions
Cited by
17 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Preorder.measurable_frestrictLe · cited by 17Preorder.measurable_frest…MeasureTheory.Measure.eq_infinitePi · cited by 6Measure.eq_infinitePiMeasureTheory.Measure.infinitePi_pi · cited by 6Measure.infinitePi_piProbabilityTheory.iIndepFun_iff_map_fun_eq_infinitePi_map₀ · cited by 4ProbabilityTheory.iIndepF…MeasureTheory.Measure.isProjectiveLimit_infinitePi · cited by 3Measure.isProjectiveLimit…ProbabilityTheory.iIndepFun.map_fun_eq_infinitePi_map₀ · cited by 3iIndepFun.map_fun_eq_infi…MeasureTheory.isProjectiveLimit_nat_iff' · cited by 2MeasureTheory.isProjectiv…measurePreserving_eval_infinitePi · cited by 2measurePreserving_eval_in…ProbabilityTheory.map_eq_iff_forall_finset_map_restrict_eq · cited by 2ProbabilityTheory.map_eq_…MeasureTheory.integral_restrict_infinitePi · cited by 1MeasureTheory.integral_re…ProbabilityTheory.isProjectiveLimit_map · cited by 1ProbabilityTheory.isProje…MeasureTheory.Measure.isProjectiveLimit_infinitePiNat · cited by 1Measure.isProjectiveLimit…MeasureTheory.Measure.infinitePiNat_map_piCongrLeft · cited by 1Measure.infinitePiNat_map…MeasureTheory.Measure.infinitePi_cylinder · cited by 1Measure.infinitePi_cylind…MeasureTheory.lintegral_restrict_infinitePi · cited by 1MeasureTheory.lintegral_r…Finset · cited by 13712FinsetMeasurableSpace · cited by 13106MeasurableSpaceMeasurable · cited by 1499Measurablemeasurable_pi_apply · cited by 77measurable_pi_applyFinset.restrict · cited by 60Finset.restrictmeasurable_pi_lambda · cited by 27measurable_pi_lambdaFinset.measurable_restrictCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by17

Results whose statement or proof uses this declaration.