Theorems · Theorem · probability
MeasureTheory.stoppedProcess_stoppedProcess
∀ {Ω : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : Nonempty ι] {u : ι → Ω → β} {τ σ : Ω → WithTop ι}
[inst_1 : LinearOrder ι],
MeasureTheory.stoppedProcess (MeasureTheory.stoppedProcess u τ) σ = MeasureTheory.stoppedProcess u (σ ⊓ τ)- Defined in
- Mathlib.Probability.Process.Stopping
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonemptyLinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- WithTopstatement and proof · cited by 3,754
- WithTop.someproof · cited by 1,128
- le_transproof · cited by 985
- LT.lt.neproof · cited by 872
- lt_of_le_of_ltproof · cited by 432
- inf_of_le_leftproof · cited by 186
- inf_of_le_rightproof · cited by 128
- lt_top_iff_ne_topproof · cited by 95
- min_le_rightproof · cited by 88
- min_eq_leftproof · cited by 67
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsStable.locally_and_iffproof · cited by 1
- ProbabilityTheory.IsStable.locally_locally_iffproof · cited by 1
- MeasureTheory.stoppedProcess_stoppedProcess_of_le_rightproof · cited by 1
- ProbabilityTheory.IsStable.locallyproof · cited by 0
- MeasureTheory.stoppedProcess_stoppedProcess'proof · cited by 0
- MeasureTheory.stoppedProcess_stoppedProcess_of_le_leftproof · cited by 0