Theorems · Theorem · linear algebra

dotProduct_single

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

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