Theorems · Theorem · probability
ProbabilityTheory.Kernel.ext
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {κ η : ProbabilityTheory.Kernel α β},
(∀ (a : α), κ a = η a) → κ = η- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 116 results in Mathlib
- Foundations
- Depth 176 from the axioms, rests on 4,613 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- DFunLike.extproof · cited by 240
Cited by116
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.map_comp_rightproof · cited by 10
- ProbabilityTheory.Kernel.traj_map_frestrictLeproof · cited by 10
- ProbabilityTheory.Kernel.zero_compproof · cited by 10
- ProbabilityTheory.Kernel.map_idproof · cited by 9
- ProbabilityTheory.Kernel.id_compproof · cited by 9
- ProbabilityTheory.Kernel.comp_idproof · cited by 8
- ProbabilityTheory.Kernel.comp_zeroproof · cited by 8
- ProbabilityTheory.Kernel.deterministic_comp_eq_mapproof · cited by 8
- ProbabilityTheory.Kernel.rnDeriv_add_singularPartproof · cited by 7
- ProbabilityTheory.Kernel.sum_zeroproof · cited by 6
- ProbabilityTheory.Kernel.map_compproof · cited by 6
- ProbabilityTheory.Kernel.comp_deterministic_eq_comapproof · cited by 5