Theorems · Theorem · probability
MeasureTheory.Filtration.piLE_eq_comap_frestrictLe
∀ {ι : Type u_2} [inst : Preorder ι] {X : ι → Type u_4} [inst_1 : (i : ι) → MeasurableSpace (X i)]
[inst_2 : LocallyFiniteOrderBot ι] (i : ι),
↑MeasureTheory.Filtration.piLE i = MeasurableSpace.comap (Preorder.frestrictLe i) MeasurableSpace.pi- Defined in
- Mathlib.Probability.Process.Filtration
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- Preorderstatement and proof · cited by 7,952
- Set.Elemproof · cited by 7,166
- Equiv.symmproof · cited by 3,681
- le_antisymmproof · cited by 2,068
- Set.Iicproof · cited by 1,111
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iicstatement and proof · cited by 280
- MeasureTheory.Filtration.seqstatement and proof · cited by 184
- MeasurableSpace.comapstatement and proof · cited by 124
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.condExp_trajproof · cited by 1