Project-declaredLean 4.31.0
Find a card
KZG.CommitmentScheme.find_a_card
Mathematical statement
A successful findA result has cardinality n + 1.
cryptographyproof systemscoding theory
Source project: ArkLib
Person-level attribution pending.
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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Project-declaredLean 4.31.0
Find a subset
KZG.CommitmentScheme.find_a_subset
Mathematical statement
A successful findA result is a subset of the search universe.
cryptographyproof systemscoding theory
Source project: ArkLib
Person-level attribution pending.
Project-declaredLean 4.31.0
Find a successful
KZG.CommitmentScheme.find_a_successful
Mathematical statement
If the interpolation over U has degree at least n, then findA succeeds.
cryptographyproof systemscoding theory
Source project: ArkLib
Person-level attribution pending.
Project-declaredLean 4.31.0
Find conflict successful
KZG.CommitmentScheme.find_conflict_successful
Mathematical statement
If findConflict returns a pair, that pair has equal queries and distinct responses.
cryptographyproof systemscoding theory
Source project: ArkLib
Person-level attribution pending.
Project-declaredLean 4.31.0
Find conflict unsuccessful
KZG.CommitmentScheme.find_conflict_unsuccessful
Mathematical statement
If findConflict returns none, no pair of indices has equal query and unequal response.
cryptographyproof systemscoding theory
Source project: ArkLib
Person-level attribution pending.
Project-declaredLean 4.31.0
Find query with srs power success
KZG.CommitmentScheme.find_query_with_srs_power_success
Mathematical statement
If the SRS-power search returns α, then α satisfies the searched equation.
cryptographyproof systemscoding theory
Source project: ArkLib
Person-level attribution pending.