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

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Project-declaredLean 4.32.0

Geometric series estimate

geometric_series_estimate

Plain-language statement

For every real x2x\ge2, the extended-nonnegative geometric series satisfies

n=02n/x2x.\sum_{n=0}^{\infty}2^{-n/x}\le2^x.

harmonic analysisFourier analysismeasure theory

Source project: Carleson formalization

Person-level attribution pending.

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Project-declaredLean 4.32.0

Det minus id

GroupTheory.SO3.det_minus_id

Plain-language statement

The determinant of an SO(3) matrix minus the identity is equal to zero.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Exists stationary vec

GroupTheory.SO3.exists_stationary_vec

Plain-language statement

For every element of SO(3) there exists a vector which remains unchanged under the action of that SO(3) element.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Gs degree bound div lt

gs_degree_bound_div_lt

Plain-language statement

The GS degree bound with m=1 divided by (k-1) is less than F when |F| ≥ 5 and the RS code is non-degenerate (k+1 ≤ n ≤ F).

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Card constraint Indices

GuruswamiSudan.card_constraintIndices

Plain-language statement

The indices of constraints are m * (m + 1) / 2.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Card weigth Bound Indices eq sum

GuruswamiSudan.card_weigthBoundIndices_eq_sum

Plain-language statement

The number of variables is the sum over j of the number of valid i's.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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