Theorems · Theorem · measure theory

MeasureTheory.Measure.OuterRegular.map

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : TopologicalSpace α] [OpensMeasurableSpace α]
  [inst_3 : MeasurableSpace β] [inst_4 : TopologicalSpace β] [BorelSpace β] (f : α ≃ₜ β) (μ : MeasureTheory.Measure α)
  [μ.OuterRegular], (MeasureTheory.Measure.map (⇑f) μ).OuterRegular

Defined in: Mathlib.MeasureTheory.Measure.Regular
Cited by: 1 results in Mathlib
Foundations: Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MeasurableSpace TopologicalSpace OpensMeasurableSpace MeasurableSpace TopologicalSpace BorelSpace MeasureTheory.Measure.OuterRegular

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

DFunLike.coestatement and proof · cited by 62,936
Setproof · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
ENNRealproof · cited by 9,879
Set.imageproof · cited by 5,609
Set.preimageproof · cited by 4,946
MeasurableSetproof · cited by 3,075
IsOpenproof · cited by 2,400
BorelSpacestatement and proof · cited by 1,602
MeasureTheory.Measure.mapstatement and proof · cited by 858

Cited by1

Results whose statement or proof uses this declaration.

MeasureTheory.Measure.Regular.mapproof · cited by 9