Theorems · Theorem · general topology

ContinuousAt.const_vadd

∀ {M : Type u_1} {α : Type u_2} {β : Type u_3} [inst : TopologicalSpace α] [inst_1 : VAdd M α] [ContinuousConstVAdd M α]
  [inst_3 : TopologicalSpace β] {g : β → α} {b : β}, ContinuousAt g b → ∀ (c : M), ContinuousAt (c +ᵥ g) b

Defined in

Mathlib.Topology.Algebra.ConstMulAction

Cited by

1 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceVAddContinuousConstVAddTopologicalSpace