Theorems · Theorem · general topology

Continuous.matrix_diagonal

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