Theorems · Definition · measure theory
MeasureTheory.Measure.dirac
{α : Type u_1} → [inst : MeasurableSpace α] → α → MeasureTheory.Measure αThe dirac measure.
- Defined in
- Mathlib.MeasureTheory.Measure.Dirac
- Cited by
- 210 results in Mathlib
- Foundations
- Depth 170 from the axioms, rests on 4,681 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- MeasureTheory.OuterMeasure.toMeasureproof · cited by 11
- MeasureTheory.OuterMeasure.diracproof · cited by 7
Cited by231
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IndepFunproof · cited by 192
- ProbabilityTheory.iIndepFunproof · cited by 138
- ProbabilityTheory.gaussianRealproof · cited by 77
- MeasureTheory.Measure.countproof · cited by 60
- ProbabilityTheory.Kernel.deterministicproof · cited by 57
- ProbabilityTheory.Indepproof · cited by 43
- MeasureTheory.Measure.dirac_apply'statement · cited by 43
- ProbabilityTheory.Kernel.compProd_applyproof · cited by 31
- MeasureTheory.ae_dirac_eqstatement · cited by 31
- ProbabilityTheory.iIndepproof · cited by 30
- ProbabilityTheory.IndepSetsproof · cited by 29
- MeasureTheory.integral_diracstatement · cited by 20
Showing the 200 most cited of 231.