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

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Project-declaredLean 4.32.0

Generalized Kronecker Delta swap

KroneckerDelta.generalizedKroneckerDelta_swap

Plain-language 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 4.32.0

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

Covariance comm

LinearPMap.covariance_comm

Plain-language statement

Swapping the two observables does not change the covariance.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Covariance eq re symm centered

LinearPMap.covariance_eq_re_symm_centered

Plain-language statement

Covariance as the real part of the symmetrized centered inner product.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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