Theorems · Theorem · global analysis

IsOpen.uniqueDiffOn

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : DivisionSemiring 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  [inst_3 : TopologicalSpace E] [inst_4 : TopologicalSpace 𝕜] [(nhdsWithin 0 {0}ᶜ).NeBot] [ContinuousSMul 𝕜 E]
  {s : Set E} [ContinuousAdd E], IsOpen s → UniqueDiffOn 𝕜 s

Defined in

Mathlib.Analysis.Calculus.TangentCone.Basic

Cited by

15 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionSemiringAddCommGroupModuleTopologicalSpaceTopologicalSpaceFilter.NeBotContinuousSMulContinuousAdd