Source-pinned research

Research proof index

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Project-declaredLean 4.33.0-rc1

Generate From eq predictable

ProbabilityTheory.ElementaryPredictableSet.generateFrom_eq_predictable

Plain-language statement

The elementary predictable sets generate the predictable σ-algebra. Note that we require the time domain to have countably generated atTop so that each (t, ∞] can be written as a countable union of intervals (t, s].

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Coe map₂

ProbabilityTheory.SimpleProcess.coe_map₂

Plain-language statement

Interpreted as functions, map₂ is just applying B pointwise.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Integral assoc

ProbabilityTheory.SimpleProcess.integral_assoc

Plain-language statement

The most general case of associativity of the elementary stochastic integral.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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