Theorems · Theorem · probability
ProbabilityTheory.Kernel.iIndepSets.of_precomp
∀ {α : Type u_1} {Ω : Type u_2} {ι : Type u_3} {_mα : MeasurableSpace α} {_mΩ : MeasurableSpace Ω}
{κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α} {π : ι → Set (Set Ω)} {ι' : Type u_5} {g : ι' → ι},
Function.Surjective g → ProbabilityTheory.Kernel.iIndepSets (π ∘ g) κ μ → ProbabilityTheory.Kernel.iIndepSets π κ μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- Function.comp_assocproof · cited by 41
- ProbabilityTheory.Kernel.iIndepSetsstatement and proof · cited by 21
- Function.RightInverse.injectiveproof · cited by 20
- Function.Surjective.hasRightInverseproof · cited by 10
- Function.RightInverse.comp_eq_idproof · cited by 9
- ProbabilityTheory.Kernel.iIndepSets.precompproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.iIndep.of_precompproof · cited by 4
- ProbabilityTheory.Kernel.iIndepSets_precomp_of_bijectiveproof · cited by 1
- ProbabilityTheory.iIndepSets.of_precompproof · cited by 0