Affine.Simplex.exsphere_compl
∀ {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) (signs : Finset (Fin (n + 1))),
s.exsphere signsᶜ = s.exsphere signs- Defined in
- Mathlib.Geometry.Euclidean.Incenter
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Finset.sumproof · cited by 5,195
- InnerProductSpacestatement and proof · cited by 3,523
- Finset.univproof · cited by 3,473
- Compl.complstatement · cited by 2,925
- Finset.sum_congrproof · cited by 2,323
- absproof · cited by 1,814
- 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.exsphere_univproof · cited by 2
- Affine.Simplex.excenter_complproof · cited by 1
- Affine.Simplex.exradius_complproof · cited by 0