Theorems · Theorem · linear algebra

Matrix.smul_mul

∀ {l : Type u_1} {m : Type u_2} {n : Type u_3} {R : Type u_7} {α : Type v} [inst : AddCommMonoid α] [inst_1 : Mul α]
  [inst_2 : Fintype n] [inst_3 : Monoid R] [inst_4 : DistribMulAction R α] [IsScalarTower R α α] (a : R)
  (M : Matrix m n α) (N : Matrix n l α), a • M * N = a • (M * N)

Defined in

Mathlib.Data.Matrix.Mul

Cited by

11 results in Mathlib

Foundations

Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidMulFintypeMonoidDistribMulActionIsScalarTower