Theorems · Definition · geometry
Affine.Simplex.points
{k : Type u_1} →
{V : Type u_2} →
{P : Type u_5} →
[inst : Ring k] →
[inst_1 : AddCommGroup V] →
[inst_2 : Module k V] → [inst_3 : AddTorsor V P] → {n : ℕ} → Affine.Simplex k P n → Fin (n + 1) → P- Cited by
- 391 results in Mathlib
- Foundations
- Depth 8 from the axioms, rests on 41 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- AddTorsorstatement and proof · cited by 1,657
- Affine.Simplexstatement and proof · cited by 471
Cited by414
Results whose statement or proof uses this declaration.
- Affine.Simplex.independentstatement · cited by 45
- Affine.Simplex.reindexproof · cited by 45
- Affine.Simplex.mapproof · cited by 43
- Affine.Simplex.centroidproof · cited by 39
- Affine.Simplex.faceproof · cited by 35
- Affine.Simplex.restrictstatement and proof · cited by 35
- Affine.Simplex.orthogonalProjectionSpanstatement and proof · cited by 33
- Affine.Simplex.range_faceOpposite_pointsstatement and proof · cited by 30
- Affine.Simplex.heightproof · cited by 28
- Affine.Simplex.altitudeFootproof · cited by 23
- Affine.Simplex.exsphereproof · cited by 20
- Affine.Simplex.mongePointproof · cited by 20
Showing the 200 most cited of 414.