Theorems · Theorem · probability
ProbabilityTheory.IsLocalizingSequence.min
∀ {ι : Type u_1} {Ω : Type u_2} {mΩ : MeasurableSpace Ω} {P : MeasureTheory.Measure Ω} [inst : LinearOrder ι]
{𝓕 : MeasureTheory.Filtration ι mΩ} [inst_1 : TopologicalSpace ι] [inst_2 : OrderTopology ι]
{τ σ : ℕ → Ω → WithTop ι},
ProbabilityTheory.IsLocalizingSequence 𝓕 τ P →
ProbabilityTheory.IsLocalizingSequence 𝓕 σ P → ProbabilityTheory.IsLocalizingSequence 𝓕 (τ ⊓ σ) P- Cited by
- 1 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Top.topproof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- WithTopstatement and proof · cited by 3,754
- Filter.atTopproof · cited by 2,405
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- Monotoneproof · cited by 1,397
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsStable.locally_and_iffproof · cited by 1