Affine.Simplex.ne_altitudeFoot
∀ {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) (i : Fin (n + 1)),
s.points i ≠ s.altitudeFoot i- Defined in
- Mathlib.Geometry.Euclidean.Altitude
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Set.rangeproof · cited by 4,705
- 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
- affineSpanproof · cited by 417
- Affine.Simplex.pointsstatement and proof · cited by 391
- ContinuousAffineMapproof · cited by 263
- Affine.Simplex.faceOppositeproof · cited by 103
Cited by1
Results whose statement or proof uses this declaration.
- Affine.Simplex.affineSpan_pair_altitudeFoot_eq_altitudeproof · cited by 1