Theorems · Theorem · functional analysis

ContinuousLinearEquiv.uniqueDiffOn_image

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {s : Set E}
  (e : E ≃L[𝕜] F), UniqueDiffOn 𝕜 s → UniqueDiffOn 𝕜 (⇑e '' s)

Defined in

Mathlib.Analysis.Calculus.FDeriv.Equiv

Cited by

1 results in Mathlib

Foundations

Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace