Theorems · Theorem · Lie groups

ContinuousWithinAt.vsub

∀ {V : Type u_1} {P : Type u_2} {α : Type u_3} [inst : AddGroup V] [inst_1 : TopologicalSpace V]
  [inst_2 : AddTorsor V P] [inst_3 : TopologicalSpace P] [IsTopologicalAddTorsor P] [inst_5 : TopologicalSpace α]
  {f g : α → P} {x : α} {s : Set α},
  ContinuousWithinAt f s x → ContinuousWithinAt g s x → ContinuousWithinAt (fun x => f x -ᵥ g x) s x

Defined in

Mathlib.Topology.Algebra.Group.Torsor

Cited by

1 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupTopologicalSpaceAddTorsorTopologicalSpaceIsTopologicalAddTorsorTopologicalSpace