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.

1 topic

423 results

Clear filters
Project-declaredLean 4.31.0

Binding cond le t sdh cond

KZG.CommitmentScheme.binding_cond_le_t_sdh_cond

Plain-language 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.

View proof record
Project-declaredLean 4.31.0

Binding game ext eq binding game

KZG.CommitmentScheme.binding_game_ext_eq_binding_game

Plain-language statement

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

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Choose s conflict alpha

KZG.CommitmentScheme.choose_s_conflict_alpha

Plain-language statement

The conflict point is not already included in chooseSConflict.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Choose s conflict insert eval ne zero

KZG.CommitmentScheme.choose_s_conflict_insert_eval_ne_zero

Plain-language statement

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

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Choose s conflict size

KZG.CommitmentScheme.choose_s_conflict_size

Plain-language statement

chooseSConflict returns exactly n elements.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Choose s conflict tau

KZG.CommitmentScheme.choose_s_conflict_tau

Plain-language statement

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

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record