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Theorems · Theorem · measure theory

MeasureTheory.aestronglyMeasurable_const

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  {b : β}, MeasureTheory.AEStronglyMeasurable (fun x => b) μ
Defined in
Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable
Cited by
44 results in Mathlib
Foundations
Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

MeasureTheory.AEEqFun.cast · cited by 380AEEqFun.castMeasureTheory.AEStronglyMeasurable.const_mul · cited by 22AEStronglyMeasurable.cons…MeasureTheory.AEStronglyMeasurable.mul_const · cited by 11AEStronglyMeasurable.mul_…MeasureTheory.AEEqFun.mk_coeFn · cited by 11AEEqFun.mk_coeFnMeasureTheory.AEEqFun.const · cited by 9AEEqFun.constMeasureTheory.Integrable.pos_part · cited by 5Integrable.pos_partMeasureTheory.measure_le_setAverage_pos · cited by 5MeasureTheory.measure_le_…MeasureTheory.integrable_const_iff_enorm · cited by 5MeasureTheory.integrable_…ProbabilityTheory.covariance_map · cited by 5ProbabilityTheory.covaria…MeasureTheory.AEEqFun.stronglyMeasurable · cited by 4AEEqFun.stronglyMeasurableMeasureTheory.MemLp.const_inner · cited by 4MemLp.const_innerMeasureTheory.AEEqFun.coeFn_const · cited by 4AEEqFun.coeFn_constMeasureTheory.memLp_const_enorm · cited by 3MeasureTheory.memLp_const…MeasureTheory.MemLp.exists_boundedContinuous_eLpNorm_sub_le · cited by 3MemLp.exists_boundedConti…MeasureTheory.MemLp.exists_hasCompactSupport_eLpNorm_sub_le · cited by 3MemLp.exists_hasCompactSu…TopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.AEStronglyMeasurable · cited by 755MeasureTheory.AEStronglyM…MeasureTheory.StronglyMeasurable.aestronglyMeasurable · cited by 94StronglyMeasurable.aestro…MeasureTheory.stronglyMeasurable_const · cited by 47MeasureTheory.stronglyMea…MeasureTheory.aestronglyMeasu…CITED BYCITES

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