Theorems · Theorem · linear algebra

diagonal_dotProduct

∀ {m : Type u_2} {α : Type v} [inst : Fintype m] [inst_1 : DecidableEq m] [inst_2 : NonUnitalNonAssocSemiring α]
  (v w : m → α) (i : m), Matrix.diagonal v i ⬝ᵥ w = v i * w i

Defined in

Mathlib.Data.Matrix.Mul

Cited by

2 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqNonUnitalNonAssocSemiring