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

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Project-declaredLean 4.32.0

Has Dense Domain orthogonal range

LinearPMap.HasDenseDomain.orthogonal_range

Plain-language statement

U.rangeᗮ = U†.ker c.f. LinearMap.orthogonal_range and ContinuousLinearMap.orthogonal_range

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Inner map polarization

LinearPMap.inner_map_polarization

Plain-language statement

The analogue of inner_map_polarization for LinearPMap.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Inner map polarization

LinearPMap.inner_map_polarization'

Plain-language statement

The analogue of inner_map_polarization' for LinearPMap.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Is Closable of continuous

LinearPMap.isClosable_of_continuous

Plain-language statement

Continuous operators are closable.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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