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 4.31.0

Mod p eq

KZG.mod_p_eq

Plain-language statement

Powers with exponents congruent modulo p agree in a group of prime order p.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.31.0

Verify opening equation

KZG.verify_opening_equation

Plain-language statement

Extract the exponent equation enforced by a successful KZG opening verification.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Ball subset regularity Domain

LinearPMap.ball_subset_regularityDomain

Plain-language statement

The regularity domain of T contains open balls with radii controlled by the lower bounds.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Is Closable defect Number const

LinearPMap.IsClosable.defectNumber_const

Plain-language statement

The defect number is constant on each connected component of the regularity domain.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Is Closed resolvent Set eq

LinearPMap.IsClosed.resolventSet_eq

Plain-language statement

For a closed operator the continuity of the resolvent is redundant in the definition of the resolvent set.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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