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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 2,569 curated research declarations and 119,070 complete package declarations. Search 10,000 more complete Mathlib declarations.

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Showing 1,369 to 1,374 of 2,569 results.

Project-declaredLean 4.24.0-rc1

Inf occ eventually

inf_occ_eventually

Mathematical statement

Over a finite type, xs k is in InfOcc xs for all sufficiently large k.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Inf occ pair

inf_occ_pair

Mathematical statement

Same as inf_acc_proj, but for pair types. This result does follow from inf_occ_proj, but that proof (see below) turns out to be longer.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Inf occ proj

inf_occ_proj

Mathematical statement

Note that only the ⊇ direction needs the finiteness assumptions.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Inf Closed mem countable Inf Closure iff

InfClosed.mem_countableInfClosure_iff

Mathematical statement

If the set is inf-closed, elements of countablInfClosure can be written as countable intersections of antitone sequences of sets.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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