Affine.Simplex.circumcenter_ne_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] {n : ℕ} (s : Affine.Simplex ℝ P (n + 1)) (i : Fin (n + 2)), s.circumcenter ≠ s.points i- Defined in
- Mathlib.Geometry.Euclidean.Circumcenter
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- LT.lt.ne'proof · cited by 1,417
- NormedAddTorsorstatement and proof · cited by 1,325
- Affine.Simplexstatement and proof · cited by 471
- Affine.Simplex.pointsstatement · cited by 391
- Affine.Simplex.circumcenterstatement · cited by 49
- dist_ne_zeroproof · cited by 13
- Affine.Simplex.dist_circumcenter_eq_circumradius'proof · cited by 4
- Affine.Simplex.circumradius_posproof · cited by 1
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