Affine.Simplex.sign_excenterWeights_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 : Fin (n + 1)), SignType.sign (s.excenterWeights {i} i) = -1- Defined in
- Mathlib.Geometry.Euclidean.Incenter
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Finsetstatement · cited by 13,712
- Finset.sumproof · cited by 5,195
- InnerProductSpacestatement and proof · cited by 3,523
- Finset.univproof · cited by 3,473
- one_mulproof · cited by 2,841
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
- OrderHomstatement · cited by 934
- neg_mulproof · cited by 654
Cited by3
Results whose statement or proof uses this declaration.
- Affine.Simplex.sOppSide_excenter_singleton_pointproof · cited by 1
- Affine.Simplex.sOppSide_point_excenter_singletonproof · cited by 1
- Affine.Simplex.sign_touchpointWeights_singleton_negproof · cited by 1