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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 1,477 to 1,482 of 2,569 results.

Project-declaredLean 4.31.0

Binding cond le t sdh cond

KZG.CommitmentScheme.binding_cond_le_t_sdh_cond

Mathematical statement

Transition 2: a successful extended binding run maps to a successful t-SDH instance.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Binding game ext eq binding game

KZG.CommitmentScheme.binding_game_ext_eq_binding_game

Mathematical statement

Transition 1: extending the binding game output preserves the event.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Choose s conflict alpha

KZG.CommitmentScheme.choose_s_conflict_alpha

Mathematical statement

The conflict point is not already included in chooseSConflict.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Choose s conflict insert eval ne zero

KZG.CommitmentScheme.choose_s_conflict_insert_eval_ne_zero

Mathematical statement

The conflict-branch adjoined vanishing product is nonzero at τ.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Choose s conflict size

KZG.CommitmentScheme.choose_s_conflict_size

Mathematical statement

chooseSConflict returns exactly n elements.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Choose s conflict tau

KZG.CommitmentScheme.choose_s_conflict_tau

Mathematical statement

The trapdoor τ is not in the conflict-branch support set.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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