Theorems · Theorem · linear algebra

dotProduct_assoc

∀ {m : Type u_2} {n : Type u_3} {α : Type v} [inst : Fintype m] [inst_1 : Fintype n] [inst_2 : NonUnitalSemiring α]
  (u : m → α) (w : n → α) (v : Matrix m n α), (fun j => u ⬝ᵥ fun i => v i j) ⬝ᵥ w = u ⬝ᵥ fun i => v i ⬝ᵥ w

Defined in

Mathlib.Data.Matrix.Mul

Cited by

3 results in Mathlib

Foundations

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

Assumes

FintypeFintypeNonUnitalSemiring