Affine.Simplex.sign_excenterWeights_empty
∀ {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) (i : Fin (n + 1)),
SignType.sign (s.excenterWeights ∅ i) = 1- Defined in
- Mathlib.Geometry.Euclidean.Incenter
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 188 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- 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
- OrderHomstatement · cited by 934
- Affine.Simplexstatement and proof · cited by 471
- SignTypestatement · cited by 318
- SignType.signstatement · cited by 128
- Affine.Simplex.excenterWeightsstatement · cited by 32
Cited by2
Results whose statement or proof uses this declaration.
- Affine.Simplex.sign_touchpointWeights_emptyproof · cited by 1
- Affine.Simplex.sign_signedInfDist_incenterproof · cited by 0