OAI/LinearAlgebra/MatrixMultiplication/AuxiliarySeparation/Tensor/BinaryCharacter.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Character additivity for binary tensor sums
The summands may have different finite coordinate types. A binary sum is a
coordinate reindexing of the dependent direct sum over Bool.
- theorem
OAI.MatrixMultiplication.AuxiliarySeparation.Character.value_sumTensorline 22Source documentation
A character is additive on binary direct sums with arbitrary finite coordinate types.
theorem value_sumTensor (χ : Character) {X Y Z U V W : Type} [Fintype X] [Fintype Y] [Fintype Z] [Fintype U] [Fintype V] [Fintype W] (T : Tensor ℂ X Y Z) (S : Tensor ℂ U V W) : χ.value (sumTensor T S) = χ.value T + χ.value S := by …Mentions: OAI.MatrixMultiplication.AuxiliarySeparation.Character, OAI.MatrixMultiplication.AuxiliarySeparation.sumTensor