Mathlib Map

Theorems · Theorem · measure theory

MeasureTheory.OuterMeasure.toMeasure.congr_simp

∀ {α : Type u_1} [ms : MeasurableSpace α] (m m_1 : MeasureTheory.OuterMeasure α) (e_m : m = m_1)
  (h : ms ≤ m.caratheodory), m.toMeasure h = m_1.toMeasure ⋯
Defined in
Mathlib.MeasureTheory.Measure.MeasureSpace
Cited by
2 results in Mathlib
Foundations
Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.measurePreserving_piUnique · cited by 3MeasureTheory.measurePres…MeasureTheory.Measure.comap_zero · cited by 1Measure.comap_zeroMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.OuterMeasure · cited by 287MeasureTheory.OuterMeasureMeasureTheory.OuterMeasure.caratheodory · cited by 37OuterMeasure.caratheodoryMeasureTheory.OuterMeasure.toMeasure · cited by 11OuterMeasure.toMeasuretoMeasure.congr_simpCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.