Theorems · Theorem · functional analysis

LipschitzWith.continuous_compLp

∀ {α : Type u_1} {E : Type u_4} {F : Type u_5} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup E] [inst_1 : NormedAddCommGroup F] {g : E → F} {c : NNReal} [inst_2 : Fact (1 ≤ p)]
  (hg : LipschitzWith c g) (g0 : g 0 = 0), Continuous (hg.compLp g0)

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Basic

Cited by

1 results in Mathlib

Foundations

Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedAddCommGroupFact