Theorems · Theorem · geometry

Affine.Triangle.sbtw_touchpoint_singleton

∀ {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] (t : Affine.Triangle ℝ P) {i₁ i₂ i₃ : Fin 3},
  i₁ ≠ i₂ → i₁ ≠ i₃ → i₂ ≠ i₃ → Sbtw ℝ (t.points i₁) (Affine.Simplex.touchpoint t {i₂} i₂) (t.points i₃)

Defined in

Mathlib.Geometry.Euclidean.Incenter

Cited by

1 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor