Theorems · Theorem · measure theory

MeasureTheory.Measure.count_injective_image

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] [MeasurableSingletonClass α]
  [MeasurableSingletonClass β] {f : β → α},
  Function.Injective f → ∀ (s : Set β), MeasureTheory.Measure.count (f '' s) = MeasureTheory.Measure.count s

Defined in: Mathlib.MeasureTheory.Measure.Count
Cited by: 0 results in Mathlib
Foundations: Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MeasurableSpace MeasurableSpace MeasurableSingletonClass MeasurableSingletonClass

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DFunLike.coestatement and proof · cited by 62,936
Setstatement and proof · cited by 53,352
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement · cited by 10,939
ENNRealstatement and proof · cited by 9,879
Top.topproof · cited by 9,680
Set.imagestatement and proof · cited by 5,609
Set.Finiteproof · cited by 1,814
Function.Injective.injOnproof · cited by 280
MeasurableSingletonClassstatement and proof · cited by 230
Set.Finite.imageproof · cited by 96
MeasureTheory.Measure.countstatement and proof · cited by 60

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