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Theorems · Theorem · general topology

Measurable.map_measurableSpace_eq_borel

∀ {X : Type u_3} {Y : Type u_4} [inst : MeasurableSpace X] [StandardBorelSpace X] [inst_2 : TopologicalSpace Y]
  [T0Space Y] [inst_4 : MeasurableSpace Y] [OpensMeasurableSpace Y] [SecondCountableTopology Y] {f : X → Y},
  Measurable f → Function.Surjective f → MeasurableSpace.map f inst = borel Y
Defined in
Mathlib.MeasureTheory.Constructions.Polish.Basic
Cited by
1 results in Mathlib
Foundations
Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceStandardBorelSpaceTopologicalSpaceT0SpaceMeasurableSpaceOpensMeasurableSpaceSecondCountableTopology
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Around this declaration

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

Measurable.borelSpace_codomain · cited by 0Measurable.borelSpace_cod…TopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceBorelSpace · cited by 1602BorelSpacele_rfl · cited by 1558le_rflMeasurable · cited by 1499MeasurableSecondCountableTopology · cited by 750SecondCountableTopologyOpensMeasurableSpace · cited by 636OpensMeasurableSpaceStandardBorelSpace · cited by 304StandardBorelSpaceT0Space · cited by 179T0Spaceborel · cited by 57borelMeasurable.mono · cited by 34Measurable.monoMeasurableSpace.map · cited by 23MeasurableSpace.mapOpensMeasurableSpace.borel_le · cited by 4OpensMeasurableSpace.bore…Measurable.map_measurableSpace_eq · cited by 3Measurable.map_measurable…Measurable.map_measurableSpac…CITED BYCITES

Cites14

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Cited by1

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