Theorems · Theorem · convex and discrete geometry

AffineEquiv.intrinsicFrontier_image

∀ {𝕜 : Type u_1} {V : Type u_2} {W : Type u_3} {Q : Type u_4} {P : Type u_5} [inst : NontriviallyNormedField 𝕜]
  [CompleteSpace 𝕜] [inst_2 : NormedAddCommGroup V] [inst_3 : NormedSpace 𝕜 V] [FiniteDimensional 𝕜 V]
  [inst_5 : NormedAddCommGroup W] [inst_6 : NormedSpace 𝕜 W] [inst_7 : MetricSpace P] [inst_8 : NormedAddTorsor V P]
  [inst_9 : MetricSpace Q] [inst_10 : NormedAddTorsor W Q] (φ : P ≃ᵃ[𝕜] Q) (s : Set P),
  intrinsicFrontier 𝕜 (⇑φ '' s) = ⇑φ '' intrinsicFrontier 𝕜 s

Defined in

Mathlib.Analysis.Convex.Intrinsic

Cited by

0 results in Mathlib

Foundations

Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldCompleteSpaceNormedAddCommGroupNormedSpaceFiniteDimensionalNormedAddCommGroupNormedSpaceMetricSpaceNormedAddTorsorMetricSpaceNormedAddTorsor