Affine.Simplex.excenterExists_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)} {signs : Finset (Fin (m + 1))},
(s.reindex e).ExcenterExists signs ↔ s.ExcenterExists (Finset.map e.symm.toEmbedding signs)- Defined in
- Mathlib.Geometry.Euclidean.Incenter
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
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
- Finsetstatement and proof · cited by 13,712
- Equivstatement and proof · cited by 8,337
- Finset.sumproof · cited by 5,195
- Equiv.symmstatement and proof · cited by 3,681
- InnerProductSpacestatement and proof · cited by 3,523
- Finset.univproof · cited by 3,473
- Finset.sum_congrproof · cited by 2,323
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
- Finset.mapstatement and proof · cited by 747
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