Mathlib Map

Theorems · Theorem · measure theory

MeasureTheory.restrict_compl_singleton

∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [MeasureTheory.NullSingletonClass μ] (a : α),
  μ.restrict {a}ᶜ = μ
Defined in
Mathlib.MeasureTheory.Measure.Typeclasses.NullSingletonClass
Cited by
2 results in Mathlib
Foundations
Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.NullSingletonClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.integral_fun_norm_addHaar · cited by 1MeasureTheory.integral_fu…MeasureTheory.integrable_fun_norm_addHaar · cited by 1MeasureTheory.integrable_…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureCompl.compl · cited by 2925Compl.complMeasureTheory.Measure.restrict · cited by 1646Measure.restrictMeasureTheory.NullSingletonClass · cited by 125MeasureTheory.NullSinglet…Set.countable_singleton · cited by 13Set.countable_singletonSet.Countable.measure_restrict_compl · cited by 1Countable.measure_restric…MeasureTheory.restrict_compl_…CITED BYCITES

Cites8

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.