Theorems · Theorem · linear algebra

Matrix.sum_sum_single

∀ {m : Type u_2} {n : Type u_3} {α : Type u_7} [inst : DecidableEq m] [inst_1 : DecidableEq n]
  [inst_2 : AddCommMonoid α] [inst_3 : Fintype m] [inst_4 : Fintype n] (x : m → n → α),
  ∑ i, ∑ j, Matrix.single i j (x i j) = Matrix.of x

Defined in

Mathlib.Data.Matrix.Basis

Cited by

1 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqDecidableEqAddCommMonoidFintypeFintype