Theorems · Theorem · probability
ProbabilityTheory.Kernel.id_map
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {f : α → β} (hf : Measurable f),
ProbabilityTheory.Kernel.id.map f = ProbabilityTheory.Kernel.deterministic f hf- Cited by
- 3 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measureproof · cited by 10,939
- MeasurableSetproof · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- ProbabilityTheory.Kernelstatement · cited by 1,281
- MeasureTheory.Measure.mapproof · cited by 858
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.Measure.diracproof · cited by 210
- ProbabilityTheory.Kernel.extproof · cited by 116
- ProbabilityTheory.Kernel.mapstatement · cited by 84
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.partialTraj_eq_prodproof · cited by 3
- ProbabilityTheory.Kernel.deterministic_mapproof · cited by 2
- SFinKer.deterministic_id_mapproof · cited by 0