Theorems · Theorem · Lie groups

Filter.Tendsto.pow

∀ {α : Type u_2} {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : Monoid M] [ContinuousMul M] {l : Filter α}
  {f : α → M} {x : M}, Filter.Tendsto f l (nhds x) → ∀ (n : ℕ), Filter.Tendsto (fun x => f x ^ n) l (nhds (x ^ n))

Defined in

Mathlib.Topology.Algebra.Monoid

Cited by

16 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceMonoidContinuousMul