Theorems · Theorem · linear algebra

Matrix.add_kroneckerTMul

∀ (R : Type u_1) {α : Type u_3} {l : Type u_9} {m : Type u_10} {n : Type u_11} {p : Type u_12} [inst : CommSemiring R]
  [inst_1 : AddCommMonoid α] [inst_2 : Module R α] (A₁ A₂ : Matrix l m α) (B : Matrix n p α),
  Matrix.kroneckerMap (TensorProduct.tmul R) (A₁ + A₂) B =
    Matrix.kroneckerMap (TensorProduct.tmul R) A₁ B + Matrix.kroneckerMap (TensorProduct.tmul R) A₂ B

Defined in: Mathlib.LinearAlgebra.Matrix.Kronecker
Cited by: 0 results in Mathlib
Foundations: Depth 43 from the axioms · uses propext, Quot.sound
Assumes: CommSemiring AddCommMonoid Module

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Modulestatement and proof · cited by 20,661
AddCommMonoidstatement and proof · cited by 12,281
CommSemiringstatement and proof · cited by 10,911
Matrixstatement and proof · cited by 4,303
TensorProductstatement · cited by 2,545
TensorProduct.tmulstatement and proof · cited by 1,182
Matrix.kroneckerMapstatement · cited by 95
TensorProduct.add_tmulproof · cited by 21
Matrix.kroneckerMap_add_leftproof · cited by 2

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