Theorems · Theorem · geometry

Affine.Simplex.reindex_points

∀ {k : Type u_1} {V : Type u_2} {P : Type u_5} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [inst_3 : AddTorsor V P] {m n : ℕ} (s : Affine.Simplex k P m) (e : Fin (m + 1) ≃ Fin (n + 1)) (a : Fin (n + 1)),
  (s.reindex e).points a = (s.points ∘ ⇑e.symm) a

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic

Cited by

13 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor