Theorems · Theorem · probability

MeasureTheory.stoppedProcess_eq

∀ {Ω : Type u_1} {β : Type u_2} {u : ℕ → Ω → β} {τ : Ω → ℕ∞} [inst : AddCommMonoid β] (n : ℕ),
  MeasureTheory.stoppedProcess u τ n =
    {a | ↑n ≤ τ a}.indicator (u n) + ∑ i ∈ Finset.range n, {ω | τ ω = ↑i}.indicator (u i)

Defined in: Mathlib.Probability.Process.Stopping
Cited by: 1 results in Mathlib
Foundations: Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddCommMonoid

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Cites15

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setproof · cited by 53,352
Finsetproof · cited by 13,712
AddCommMonoidstatement and proof · cited by 12,281
Set.ofPredstatement and proof · cited by 6,101
Finset.sumstatement and proof · cited by 5,195
ENatstatement and proof · cited by 4,985
Finset.rangestatement and proof · cited by 1,341
WithTop.someproof · cited by 1,128
Set.indicatorstatement and proof · cited by 723
Finset.extproof · cited by 565
Finset.Iioproof · cited by 147
Finset.mem_rangeproof · cited by 140

Cited by1

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MeasureTheory.stoppedProcess_eq'proof · cited by 0