Theorems · Theorem · general topology

Continuous.matrix_blockDiagonal

∀ {X : Type u_1} {m : Type u_4} {n : Type u_5} {p : Type u_6} {R : Type u_8} [inst : TopologicalSpace X]
  [inst_1 : TopologicalSpace R] [inst_2 : Zero R] [inst_3 : DecidableEq p] {A : X → p → Matrix m n R},
  Continuous A → Continuous fun x => Matrix.blockDiagonal (A x)

Defined in

Mathlib.Topology.Instances.Matrix

Cited by

3 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceZeroDecidableEq