Theorems · Theorem · geometry

AffineIsometryEquiv.ofEq_symm

∀ {𝕜 : Type u_1} {V : Type u_2} {P : Type u_10} [inst : NormedField 𝕜] [inst_1 : SeminormedAddCommGroup V]
  [inst_2 : NormedSpace 𝕜 V] [inst_3 : PseudoMetricSpace P] [inst_4 : NormedAddTorsor V P] {s₁ s₂ : AffineSubspace 𝕜 P}
  [inst_5 : Nonempty ↥s₁] [inst_6 : Nonempty ↥s₂] (h : s₁ = s₂),
  (AffineIsometryEquiv.ofEq s₁ s₂ h).symm = AffineIsometryEquiv.ofEq s₂ s₁ ⋯

Defined in

Mathlib.Analysis.Normed.Affine.Isometry

Cited by

0 results in Mathlib

Foundations

Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldSeminormedAddCommGroupNormedSpacePseudoMetricSpaceNormedAddTorsorNonemptyNonempty