Theorems · Theorem · geometry

Affine.Simplex.restrict_points_coe

∀ {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] {n : ℕ} (s : Affine.Simplex k P n) (S : AffineSubspace k P)
  (hS : affineSpan k (Set.range s.points) ≤ S) (i : Fin (n + 1)), ↑((s.restrict S hS).points i) = s.points i

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic

Cited by

4 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor