Theorems · Theorem · convex and discrete geometry

AffineIsometry.intrinsicInterior_image

∀ {𝕜 : Type u_1} {V : Type u_2} {W : Type u_3} {Q : Type u_4} {P : Type u_5} [inst : NormedField 𝕜]
  [inst_1 : SeminormedAddCommGroup V] [inst_2 : SeminormedAddCommGroup W] [inst_3 : NormedSpace 𝕜 V]
  [inst_4 : NormedSpace 𝕜 W] [inst_5 : MetricSpace P] [inst_6 : PseudoMetricSpace Q] [inst_7 : NormedAddTorsor V P]
  [inst_8 : NormedAddTorsor W Q] (φ : P →ᵃⁱ[𝕜] Q) (s : Set P),
  intrinsicInterior 𝕜 (⇑φ '' s) = ⇑φ '' intrinsicInterior 𝕜 s

Defined in

Mathlib.Analysis.Convex.Intrinsic

Cited by

1 results in Mathlib

Foundations

Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldSeminormedAddCommGroupSeminormedAddCommGroupNormedSpaceNormedSpaceMetricSpacePseudoMetricSpaceNormedAddTorsorNormedAddTorsor