Theorems · Theorem · Lie groups

Matrix.GeneralLinearGroup.continuous_apply

∀ {n : Type u_1} {R : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R]
  [inst_3 : TopologicalSpace R] {α : Type u_4} [inst_4 : TopologicalSpace α] (f : α → GL n R),
  Continuous f → ∀ (i : n), Continuous fun x => ↑(f x) i

Defined in

Mathlib.Topology.Algebra.Group.Matrix

Cited by

2 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommRingTopologicalSpaceTopologicalSpace