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

H1 zs eq h2 prime

KZG.CommitmentScheme.h1_zs_eq_h2_prime

Plain-language statement

The interpolation-branch output satisfies the ARSDH exponent equation.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Interpolate degree ge of no data

KZG.CommitmentScheme.interpolate_degree_ge_of_no_data

Plain-language statement

If no degree-n coefficient vector fits the data, interpolation has degree at least n + 1.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Lagrange zs conversion

KZG.CommitmentScheme.lagrange_zs_conversion

Plain-language statement

Barycentric conversion for interpolation divided by the vanishing polynomial at τ.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Nat cast range card zmod of le

KZG.CommitmentScheme.nat_cast_range_card_zmod_of_le

Plain-language statement

Casting the first k ≤ p natural numbers into ZMod p is injective.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

No data query Reps of function binding cond

KZG.CommitmentScheme.no_data_queryReps_of_function_binding_cond

Plain-language statement

Function-binding failure rules out fitting the deduplicated query representatives.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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