Affine.Simplex.pointsWithCircumcenter_eq_circumcenter
∀ {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} (s : Affine.Simplex ℝ P n),
s.pointsWithCircumcenter Affine.Simplex.PointsWithCircumcenterIndex.circumcenterIndex = s.circumcenterpointsWithCircumcenter, applied to circumcenterIndex, equals the
circumcenter.
- Defined in
- Mathlib.Geometry.Euclidean.Circumcenter
- Cited by
- 2 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.
Cites8
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
- 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
- Affine.Simplex.circumcenterstatement · cited by 49
- Affine.Simplex.pointsWithCircumcenterstatement · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- Affine.Simplex.inner_mongePoint_vsub_face_centroid_vsubproof · cited by 1