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

1 topic

16 results

Clear filters
Project-declaredLean 4.31.0

Div by monic zs to poly eq nodal erase

KZG.CommitmentScheme.div_by_monic_zs_to_poly_eq_nodal_erase

Plain-language statement

Dividing the vanishing product by one node gives the erased nodal polynomial.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Find a card

KZG.CommitmentScheme.find_a_card

Plain-language statement

A successful findA result has cardinality n + 1.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Find a subset

KZG.CommitmentScheme.find_a_subset

Plain-language statement

A successful findA result is a subset of the search universe.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Find a successful

KZG.CommitmentScheme.find_a_successful

Plain-language statement

If the interpolation over U has degree at least n, then findA succeeds.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Find s card

KZG.CommitmentScheme.find_s_card

Plain-language statement

A successful findS result has cardinality n + 1.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Find s existence

KZG.CommitmentScheme.find_s_existence

Plain-language statement

Some n + 1 subset has interpolation value at τ different from c.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record