Theorems · Theorem · geometry

Affine.Simplex.mongePoint_restrict

∀ {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] {n : ℕ} (s : Affine.Simplex ℝ P n) (S : AffineSubspace ℝ P)
  (hS : affineSpan ℝ (Set.range s.points) ≤ S), ↑(s.restrict S hS).mongePoint = s.mongePoint

Defined in

Mathlib.Geometry.Euclidean.MongePoint

Cited by

1 results in Mathlib

Foundations

Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor