Theorems · Inductive type · probability
ProbabilityTheory.IsDeterministic
{α : Type u_1} →
{β : Type u_2} → {mα : MeasurableSpace α} → {mβ : MeasurableSpace β} → ProbabilityTheory.Kernel α β → PropA kernel is deterministic if copying then applying the kernel to the two copies is the same as first applying the kernel then copying.
- Defined in
- Mathlib.Probability.Kernel.Deterministic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
- ProbabilityTheory.Kernelstatement · cited by 1,281
Cited by7
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.parallelComp_self_comp_copystatement and proof · cited by 2
- ProbabilityTheory.IsDeterministic.parallelComp_self_comp_copy'statement and proof · cited by 1
- ProbabilityTheory.IsDeterministic.recOnstatement and proof · cited by 0
- ProbabilityTheory.Kernel.IsDeterministic.exists_eq_deterministicstatement and proof · cited by 0
- ProbabilityTheory.Kernel.comp_parallelComp_comp_copystatement and proof · cited by 0
- ProbabilityTheory.Kernel.isDeterministic_iff_isZeroOneMeasurestatement and proof · cited by 0
- ProbabilityTheory.IsDeterministic.casesOnstatement and proof · cited by 0