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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 1,231 to 1,236 of 2,569 results.

Project-declaredLean 4.31.0

Nat Weighted Degree coeffs To Poly le

GuruswamiSudan.natWeightedDegree_coeffsToPoly_le

Mathematical statement

The weighted degree of the polynomial constructed from coefficients is bounded by D.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Nat Weighted Degree smul le

GuruswamiSudan.natWeightedDegree_smul_le

Mathematical statement

The weighted degree of a scalar multiple is at most the weighted degree of the polynomial.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Nat Weighted Degree sum le

GuruswamiSudan.natWeightedDegree_sum_le

Mathematical statement

The weighted degree of a sum is bounded by the supremum of the weighted degrees.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Num Vars lower bound tight

GuruswamiSudan.numVars_lower_bound_tight

Mathematical statement

A tighter lower bound for the number of variables when k > 1 : 2(k-1) * numVars ≥ D(D+2).

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Poly Sol ne zero

GuruswamiSudan.polySol_ne_zero

Mathematical statement

The solved polynomial is non-zero.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Proximity gap degree bound sq gt

GuruswamiSudan.proximity_gap_degree_bound_sq_gt

Mathematical statement

Lower bound for the square of (D+1). Specifically, (D+1)^2 > (m+1/2)^2 * (k+1) * n.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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