Theorems · Theorem · real analysis

Filter.Tendsto.nnrpow

∀ {α : Type u_1} {f : Filter α} {u : α → NNReal} {v : α → ℝ} {x : NNReal} {y : ℝ},
  Filter.Tendsto u f (nhds x) →
    Filter.Tendsto v f (nhds y) → x ≠ 0 ∨ 0 < y → Filter.Tendsto (fun a => u a ^ v a) f (nhds (x ^ y))

Defined in

Mathlib.Analysis.SpecialFunctions.Pow.Continuity

Cited by

1 results in Mathlib

Foundations

Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound