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

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Project-declaredLean 4.31.0

Gs num Vars gt num Constraints of gt one

GuruswamiSudan.gs_numVars_gt_numConstraints_of_gt_one

Plain-language statement

numVars with gs_degree_bound exceeds numConstraints (for k > 1).

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Gs sufficient multiplicity bound

GuruswamiSudan.gs_sufficient_multiplicity_bound

Plain-language statement

The degree bound with ρ = k/n is strictly less than m times the number of agreement points, provided the distance is within the rate-corrected Johnson radius gs_johnson.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Interpolate eq of degree lt

GuruswamiSudan.interpolate_eq_of_degree_lt

Plain-language statement

If a polynomial q has degree less than n, then interpolating its values at n points recovers q.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Mem decoder of dist

GuruswamiSudan.mem_decoder_of_dist

Plain-language statement

If a polynomial of degree <k< k is ee-close to the received word, it appears in the decoder output.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Nat Weighted Degree add le

GuruswamiSudan.natWeightedDegree_add_le

Plain-language statement

The weighted degree of a sum is at most the maximum of the weighted degrees.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Nat Weighted Degree coeffs To Poly le

GuruswamiSudan.natWeightedDegree_coeffsToPoly_le

Plain-language 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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