Theorems · Theorem · linear algebra

Matrix.sum_mulVec

∀ {m : Type u_2} {n : Type u_3} {α : Type u_11} {ι : Type u_14} [inst : NonUnitalNonAssocSemiring α]
  [inst_1 : Fintype n] (s : Finset ι) (x : ι → Matrix m n α) (y : n → α),
  (∑ i ∈ s, x i).mulVec y = ∑ i ∈ s, (x i).mulVec y

Defined in

Mathlib.Data.Matrix.Basic

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonUnitalNonAssocSemiringFintype