Theorems · Theorem · measure theory

MeasureTheory.Measure.IsFiniteMeasureOnCompacts.map

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] {mα : MeasurableSpace α} [BorelSpace α]
  [mβ : TopologicalSpace β] [inst_2 : MeasurableSpace β] [BorelSpace β] (μ : MeasureTheory.Measure α)
  [MeasureTheory.IsFiniteMeasureOnCompacts μ] (f : α ≃ₜ β),
  MeasureTheory.IsFiniteMeasureOnCompacts (MeasureTheory.Measure.map (⇑f) μ)

Defined in: Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace BorelSpace TopologicalSpace MeasurableSpace BorelSpace MeasureTheory.IsFiniteMeasureOnCompacts

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Cites17

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
Top.topproof · cited by 9,680
BorelSpacestatement and proof · cited by 1,602
IsCompactproof · cited by 1,282
MeasureTheory.Measure.mapstatement and proof · cited by 858
Homeomorphstatement and proof · cited by 725
MeasureTheory.IsFiniteMeasureOnCompactsstatement and proof · cited by 109

Cited by1

Results whose statement or proof uses this declaration.

MeasureTheory.Measure.Regular.mapproof · cited by 9