Theorems · Theorem · geometry

Affine.Simplex.exsphere_reindex

∀ {V : Type u_1} {P : Type u_2} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : MetricSpace P]
  [inst_3 : NormedAddTorsor V P] {m n : ℕ} [inst_4 : NeZero m] [inst_5 : NeZero n] (s : Affine.Simplex ℝ P n)
  (e : Fin (n + 1) ≃ Fin (m + 1)) (signs : Finset (Fin (m + 1))),
  (s.reindex e).exsphere signs = s.exsphere (Finset.map e.symm.toEmbedding signs)

Defined in

Mathlib.Geometry.Euclidean.Incenter

Cited by

5 results in Mathlib

Foundations

Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsorNeZeroNeZero