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 199 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.33.0-rc1

Dfa num state min

Language.dfa_num_state_min

Plain-language statement

All DFAs accepting l must have at least as many states as the number of equivalence classes of the Nerode congruence on l.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Kstar sub one

Language.kstar_sub_one

Plain-language statement

A grind regression found moving to nightly-2026-03-31 (changes from lean#13166)

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Sub one mul

Language.sub_one_mul

Plain-language statement

A grind regression found moving to nightly-2026-03-31 (changes from lean#13166)

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Segment lower bound

Nat.segment_lower_bound

Plain-language statement

For a strictly monotonic function f : ℕ → ℕ with f 0 = 0, f (segment f k) ≤ k for all k : ℕ.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Segment' eq segment

Nat.segment'_eq_segment

Plain-language statement

For a strictly monotonic function f : ℕ → ℕ, segment' f and segment f are actually equal.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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