Affine.Simplex.circumcenter_eq_point
∀ {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] (s : Affine.Simplex ℝ P 0) (i : Fin 1), s.circumcenter = s.points iThe circumcenter of a 0-simplex equals its unique point.
- Defined in
- Mathlib.Geometry.Euclidean.Circumcenter
- Cited by
- 0 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.
Cites18
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
- Moduleproof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupproof · cited by 12,871
- Ringproof · cited by 7,463
- Set.rangeproof · cited by 4,705
- InnerProductSpacestatement and proof · cited by 3,523
- MetricSpacestatement and proof · cited by 1,684
- AddTorsorproof · cited by 1,657
- NormedAddTorsorstatement and proof · cited by 1,325
- Affine.Simplexstatement and proof · cited by 471
- affineSpanproof · cited by 417
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.