Affine.Simplex.excenterWeightsUnnorm_restrict
∀ {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) (S : AffineSubspace ℝ P)
(hS : affineSpan ℝ (Set.range s.points) ≤ S), (s.restrict S hS).excenterWeightsUnnorm = s.excenterWeightsUnnorm- Defined in
- Mathlib.Geometry.Euclidean.Incenter
- Cited by
- 3 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.
Cites27
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 and proof · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Submodulestatement · cited by 7,192
- Set.Elemstatement · cited by 7,166
- Set.rangestatement and proof · cited by 4,705
- InnerProductSpacestatement and proof · cited by 3,523
- one_mulproof · cited by 2,841
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
Cited by3
Results whose statement or proof uses this declaration.
- Affine.Simplex.excenterExists_restrictproof · cited by 3
- Affine.Simplex.excenterWeights_restrictproof · cited by 1
- Affine.Simplex.exradius_restrictproof · cited by 1