Affine.Simplex.touchpointWeights_singleton_neg
∀ {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) [n.AtLeastTwo]
{i j : Fin (n + 1)}, i ≠ j → s.touchpointWeights {i} j i < 0- Defined in
- Mathlib.Geometry.Euclidean.Incenter
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Finsetstatement · cited by 13,712
- InnerProductSpacestatement and proof · cited by 3,523
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
- Affine.Simplexstatement and proof · cited by 471
- Nat.AtLeastTwostatement and proof · cited by 405
- Affine.Simplex.touchpointWeightsstatement · cited by 19
- Affine.Simplex.sign_touchpointWeights_singleton_negproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Affine.Triangle.touchpoint_singleton_sbtwproof · cited by 2