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

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Project-declaredLean 4.32.0

Contr T to Complex

realLorentzTensor.contrT_toComplex

Plain-language statement

The map toComplex commutes with contrT.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Eval T to Complex

realLorentzTensor.evalT_toComplex

Plain-language statement

The map toComplex commutes with evalT.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Perm T to Complex

realLorentzTensor.permT_toComplex

Plain-language statement

The map toComplex commutes with permT.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Prod T to Complex

realLorentzTensor.prodT_toComplex

Plain-language statement

The map toComplex commutes with prodT.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

To Complex contr P basis Vector

realLorentzTensor.toComplex_contrP_basisVector

Plain-language statement

For a real basis vector, toComplex(contrP(basisVector c b)) equals contrP(basisVector (colorToComplex ∘ c) (complexify b)) (complex species).

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

To Complex eval P basis Vector

realLorentzTensor.toComplex_evalP_basisVector

Plain-language statement

For a real basis vector, toComplex(evalP(basisVector c b)) equals evalP(basisVector (colorToComplex ∘ c) (complexify b)) (complex species).

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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