Affine.Triangle.orthocenter_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] (t : Affine.Triangle ℝ P) (e : Fin 3 ≃ Fin 3),
Affine.Triangle.orthocenter (Affine.Simplex.reindex t e) = t.orthocenter- Defined in
- Mathlib.Geometry.Euclidean.MongePoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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.Trianglestatement and proof · cited by 75
- Affine.Simplex.reindexstatement · cited by 45
- Affine.Triangle.orthocenterstatement · cited by 23
- Affine.Simplex.mongePoint_reindexproof · cited by 2
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