Theorems · Theorem · general topology

continuousOn_const_vadd_iff

∀ {α : Type u_2} {β : Type u_3} {G : Type u_4} [inst : TopologicalSpace α] [inst_1 : AddGroup G]
  [inst_2 : AddAction G α] [ContinuousConstVAdd G α] [inst_4 : TopologicalSpace β] {f : β → α} {s : Set β} (c : G),
  ContinuousOn (fun x => c +ᵥ f x) s ↔ ContinuousOn f s

Defined in

Mathlib.Topology.Algebra.ConstMulAction

Cited by

0 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceAddGroupAddActionContinuousConstVAddTopologicalSpace