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.
Project-declaredLean 4.32.0
Levi Civita basis repr eq zero of eq
realLorentzTensor.leviCivita_basis_repr_eq_zero_of_eq
Plain-language statement
The Levi-Civita tensor vanishes on any multi-index with a repeated value: if two distinct index positions i ≠ j carry the same basis index, the component is zero.
physicsquantum field theoryrelativity
Source project: Physlib
Person-level attribution pending.
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.
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.
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.