Theorems · Theorem · general topology

Matrix.blockDiagonal_tsum

∀ {X : Type u_1} {m : Type u_4} {n : Type u_5} {p : Type u_6} {R : Type u_8} [inst : AddCommMonoid R]
  [inst_1 : TopologicalSpace R] {L : SummationFilter X} [inst_2 : DecidableEq p] [T2Space R] {f : X → p → Matrix m n R},
  Matrix.blockDiagonal (∑'[L] (x : X), f x) = ∑'[L] (x : X), Matrix.blockDiagonal (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