Theorems · Definition · probability
ProbabilityTheory.Kernel.const
(α : Type u_4) →
{β : Type u_5} →
[inst : MeasurableSpace α] → {x : MeasurableSpace β} → MeasureTheory.Measure β → ProbabilityTheory.Kernel α βConstant kernel, which always returns the same measure.
- Defined in
- Mathlib.Probability.Kernel.Basic
- Cited by
- 93 results in Mathlib
- Foundations
- Depth 172 from the axioms, rests on 4,611 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 and proof · cited by 10,939
- ProbabilityTheory.Kernelstatement · cited by 1,281
Cited by103
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IndepFunproof · cited by 192
- ProbabilityTheory.iIndepFunproof · cited by 138
- MeasureTheory.Measure.compProdproof · cited by 132
- ProbabilityTheory.Indepproof · cited by 43
- ProbabilityTheory.iIndepproof · cited by 30
- ProbabilityTheory.IndepSetsproof · cited by 29
- MeasureTheory.Measure.const_compstatement · cited by 28
- ProbabilityTheory.iIndepSetproof · cited by 19
- ProbabilityTheory.iIndepSetsproof · cited by 18
- MeasureTheory.Measure.compProd_applyproof · cited by 18
- ProbabilityTheory.IndepSetproof · cited by 13
- ProbabilityTheory.Kernel.const_applystatement · cited by 13