Affine.Simplex.ninePointCircle_eq_circumsphere_medial
∀ {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.ninePointCircle = s.medial.circumsphere- Cited by
- 0 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- EuclideanGeometry.Spherestatement · cited by 233
- EuclideanGeometry.Sphere.centerproof · cited by 181
- Set.range_subset_iffproof · cited by 99
- Affine.Simplex.circumspherestatement · cited by 19
- Affine.Simplex.ninePointCirclestatement and proof · cited by 13
- Affine.Simplex.medialstatement and proof · cited by 7
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