Affine.Simplex.incenter_reindex
∀ {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] {m n : ℕ} [inst_4 : NeZero m] [inst_5 : NeZero n] (s : Affine.Simplex ℝ P n)
(e : Fin (n + 1) ≃ Fin (m + 1)), (s.reindex e).incenter = s.incenter- Defined in
- Mathlib.Geometry.Euclidean.Incenter
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 188 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
- Equivstatement and proof · cited by 8,337
- 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.Sphere.centerproof · cited by 181
- Affine.Simplex.reindexstatement · cited by 45
- Affine.Simplex.incenterstatement · cited by 35
- Affine.Simplex.exsphereproof · cited by 20
- Affine.Simplex.exsphere_reindexproof · cited by 5
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