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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 1,471 to 1,476 of 2,569 results.

Project-declaredLean 4.33.0-rc1

KLDiv add le KLDiv of indep

KLDiv_add_le_KLDiv_of_indep

Mathematical statement

If X,Y,ZX, Y, Z are independent GG-valued random variables, then DKL(X+ZY+Z)DKL(XY).D_{KL}(X+Z\Vert Y+Z) \leq D_{KL}(X\Vert Y).

additive combinatoricsentropyprobability

Source project: Polynomial Freiman-Ruzsa project

Person-level attribution pending.

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Project-declaredLean 4.32.0

Generalized Kronecker Delta swap

KroneckerDelta.generalizedKroneckerDelta_swap

Mathematical statement

Swapping two of the upper indices of the generalized Kronecker delta negates it. This is one row transposition of the underlying determinant.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Commit eq

KZG.commit_eq

Mathematical statement

The commitment to a mathlib polynomial poly of maximum degree n is equal to g₁ ^ (poly.1.eval a).val

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Commit eq c polynomial

KZG.commit_eq_c_polynomial

Mathematical statement

The commitment to a computable polynomial (CPolynomial) poly of maximum degree n is equal to g₁ ^ (poly.eval a).val.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Arsdh game eq

KZG.CommitmentScheme.arsdh_game_eq

Mathematical statement

Transition 4: the mapped game equals the ARSDH experiment

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Binding

KZG.CommitmentScheme.binding

Mathematical statement

The KZG scheme satisfies evaluation binding provided t-SDH holds.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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