Theorems · Theorem · geometry

Affine.Simplex.sum_excenterWeightsUnnorm_empty_pos

∀ {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} [inst_4 : NeZero n] (s : Affine.Simplex ℝ P n),
  0 < ∑ i, s.excenterWeightsUnnorm ∅ i

Defined in

Mathlib.Geometry.Euclidean.Incenter

Cited by

1 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsorNeZero