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

Dist row le dist To Interleaved Code

dist_row_le_dist_ToInterleavedCode

Plain-language statement

Helper Lemma relating row distance to interleaved distance (as derived from DG25): d((Uᵣ)ᵢ, C) ≤ d^m(Uᵣ, C^m)

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Possible Deltas subset rel Hamming Dist Range

DivergenceOfSets.possibleDeltas_subset_relHammingDistRange

Plain-language statement

The set of possible relative Hamming distances between two sets is well-defined.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Do two uniform sampling eq uniform prod

do_two_uniform_sampling_eq_uniform_prod

Plain-language statement

Proves that a do block sampling two independent uniform distributions is equal to the single uniform distribution over the product type.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Two Nth Root correct

Domain.CosetFftDomain.twoNthRoot_correct

Plain-language statement

The value returned by twoNthRoot is a 2 ^ ith root of its input.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Card block of mem subdomain

Domain.CosetFftDomainClass.card_block_of_mem_subdomain

Plain-language statement

If x lies in the (i + j)th subdomain, then it has exactly 2 ^ j preimages under y ↦ y ^ 2 ^ j from the ith subdomain.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Log right inverse

Domain.CosetFftDomainClass.log_right_inverse'

Plain-language statement

Evaluating ω at the index found by log recovers x.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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