Theorems · Theorem · general topology

ContinuousWithinAt.div

∀ {α : Type u_1} {G₀ : Type u_3} [inst : GroupWithZero G₀] [inst_1 : TopologicalSpace G₀] [ContinuousInv₀ G₀]
  [ContinuousMul G₀] {f g : α → G₀} [inst_4 : TopologicalSpace α] {s : Set α} {a : α},
  ContinuousWithinAt f s a → ContinuousWithinAt g s a → g a ≠ 0 → ContinuousWithinAt (f / g) s a

Defined in

Mathlib.Topology.Algebra.GroupWithZero

Cited by

3 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupWithZeroTopologicalSpaceContinuousInv₀ContinuousMulTopologicalSpace