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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 1,483 to 1,488 of 2,569 results.

Project-declaredLean 4.31.0

Choose s middle card

KZG.CommitmentScheme.choose_s_middle_card

Mathematical statement

chooseSMiddle returns a support set of size n + 1.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Conflict query ne tau

KZG.CommitmentScheme.conflict_query_ne_tau

Mathematical statement

A genuine evaluation conflict cannot occur at the hidden trapdoor point.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Correctness

KZG.CommitmentScheme.correctness

Mathematical statement

The KZG scheme satisfies perfect correctness as defined in CommitmentScheme.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Div by monic zs to poly eq nodal erase

KZG.CommitmentScheme.div_by_monic_zs_to_poly_eq_nodal_erase

Mathematical statement

Dividing the vanishing product by one node gives the erased nodal polynomial.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Filter map conflict length

KZG.CommitmentScheme.filter_map_conflict_length

Mathematical statement

The conflict-branch candidate list contains at least n usable elements.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Filter map conflict nodup

KZG.CommitmentScheme.filter_map_conflict_nodup

Mathematical statement

The filtered list used by chooseSConflict has no duplicate field elements.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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