Theorems · Theorem · measure theory
MeasureTheory.ae_eq_dirac
∀ {α : Type u_1} {δ : Type u_3} [inst : MeasurableSpace α] [MeasurableSingletonClass α] {a : α} (f : α → δ),
f =ᵐ[MeasureTheory.Measure.dirac a] Function.const α (f a)- Defined in
- Mathlib.MeasureTheory.Measure.Dirac
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- Filter.Eventuallyproof · cited by 3,134
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- MeasurableSingletonClassstatement and proof · cited by 230
- MeasureTheory.Measure.diracstatement · cited by 210
- MeasureTheory.ae_dirac_eqproof · cited by 31
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_diracproof · cited by 20
- MeasureTheory.lintegral_diracproof · cited by 13
- MeasureTheory.aemeasurable_diracproof · cited by 3
- MeasureTheory.VectorMeasure.integral_diracproof · cited by 2
- aestronglyMeasurable_diracproof · cited by 1