Theorems · Theorem · general topology

Matrix.diagonal_tsum

∀ {X : Type u_1} {n : Type u_5} {R : Type u_8} [inst : AddCommMonoid R] [inst_1 : TopologicalSpace R]
  {L : SummationFilter X} [inst_2 : DecidableEq n] [T2Space R] {f : X → n → R},
  Matrix.diagonal (∑'[L] (x : X), f x) = ∑'[L] (x : X), Matrix.diagonal (f x)

Defined in

Mathlib.Topology.Instances.Matrix

Cited by

0 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceDecidableEqT2Space