Source-pinned research

Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

This index contains 70 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.33.0-rc1

Is Stable left limit

ProbabilityTheory.isStable_left_limit

Plain-language statement

The processes with left limits are a stable class.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Is Stable right Continuous

ProbabilityTheory.isStable_rightContinuous

Plain-language statement

The processes with right-continuous paths are a stable class.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Locally of ae

ProbabilityTheory.locally_of_ae

Plain-language statement

If the filtration satisfies the usual conditions, then a property of the paths of a process that holds almost surely holds locally.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Maximal ineq countable

ProbabilityTheory.maximal_ineq_countable

Plain-language statement

Doob's maximal inequality for a countable index set.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Maximal ineq finset

ProbabilityTheory.maximal_ineq_finset

Project documentation

Auxiliary lemma for maximal_ineq_countable where the index set is a Finset.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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