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

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Project-declaredLean 4.31.0

Choose s middle card

KZG.CommitmentScheme.choose_s_middle_card

Plain-language 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

Find query with srs power success

KZG.CommitmentScheme.find_query_with_srs_power_success

Plain-language statement

If the SRS-power search returns α, then α satisfies the searched equation.

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

Zmod eq of srs power eq

KZG.CommitmentScheme.zmod_eq_of_srs_power_eq

Plain-language statement

Equality with the second SRS power identifies a field element as the trapdoor.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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