Theorems · Theorem · Lie groups

ContinuousAt.fun_pow

∀ {M : Type u_3} {X : Type u_5} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace M] [inst_2 : Monoid M]
  [ContinuousMul M] {f : X → M} {x : X}, ContinuousAt f x → ∀ (n : ℕ), ContinuousAt (fun i => f i ^ n) x

Eta-expanded form of ContinuousAt.pow

Defined in

Mathlib.Topology.Algebra.Monoid

Cited by

7 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceMonoidContinuousMul