Theorems · Theorem · linear algebra
Matrix.add_kronecker
∀ {α : Type u_3} {l : Type u_9} {m : Type u_10} {n : Type u_11} {p : Type u_12} [inst : Distrib α]
(A₁ A₂ : Matrix l m α) (B : Matrix n p α),
Matrix.kroneckerMap (fun x1 x2 => x1 * x2) (A₁ + A₂) B =
Matrix.kroneckerMap (fun x1 x2 => x1 * x2) A₁ B + Matrix.kroneckerMap (fun x1 x2 => x1 * x2) A₂ B- Defined in
- Mathlib.LinearAlgebra.Matrix.Kronecker
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- Distrib
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement and proof · cited by 4,303
- add_mulproof · cited by 363
- Matrix.kroneckerMapstatement · cited by 95
- Distribstatement and proof · cited by 31
- Matrix.kroneckerMap_add_leftproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.