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Theorems · Theorem · general topology

Measurable.map_measurableSpace_eq

∀ {X : Type u_3} {Z : Type u_5} [inst : MeasurableSpace X] [StandardBorelSpace X] [inst_2 : MeasurableSpace Z]
  [MeasurableSpace.CountablySeparated Z] {f : X → Z},
  Measurable f → Function.Surjective f → MeasurableSpace.map f inst = inst_2
Defined in
Mathlib.MeasureTheory.Constructions.Polish.Basic
Cited by
3 results in Mathlib
Foundations
Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceStandardBorelSpaceMeasurableSpaceMeasurableSpace.CountablySeparated
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Around this declaration

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

Measurable.map_measurableSpace_eq_borel · cited by 1Measurable.map_measurable…Continuous.map_eq_borel · cited by 1Continuous.map_eq_borelMeasurable.borelSpace_codomain · cited by 0Measurable.borelSpace_cod…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasurable · cited by 1499MeasurableStandardBorelSpace · cited by 304StandardBorelSpaceMeasurableSpace.map · cited by 23MeasurableSpace.mapMeasurableSpace.CountablySeparated · cited by 20MeasurableSpace.Countably…MeasurableSpace.ext · cited by 11MeasurableSpace.extMeasurable.measurableSet_preimage_iff_of_surjective · cited by 3Measurable.measurableSet_…Measurable.map_measurableSpac…CITED BYCITES

Cites8

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Cited by3

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