Theorems · Inductive type · geometry
Affine.Simplex
(k : Type u_1) →
{V : Type u_2} →
(P : Type u_5) → [inst : Ring k] → [inst_1 : AddCommGroup V] → [Module k V] → [AddTorsor V P] → ℕ → Type u_5A Simplex k P n is a collection of n + 1 affinely
independent points.
- Cited by
- 471 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 26 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement · cited by 20,661
- AddCommGroupstatement · cited by 12,871
- Ringstatement · cited by 7,463
- AddTorsorstatement · cited by 1,657
Cited by520
Results whose statement or proof uses this declaration.
- Affine.Simplex.pointsstatement and proof · cited by 391
- Affine.Simplex.faceOppositestatement and proof · cited by 103
- Affine.Triangleproof · cited by 75
- Affine.Simplex.excenterstatement and proof · cited by 63
- Affine.Simplex.ExcenterExistsstatement and proof · cited by 53
- Affine.Simplex.circumcenterstatement and proof · cited by 49
- Affine.Simplex.touchpointstatement and proof · cited by 49
- Affine.Simplex.independentstatement and proof · cited by 45
- Affine.Simplex.reindexstatement and proof · cited by 45
- Affine.Simplex.mapstatement and proof · cited by 43
- Affine.Simplex.centroidstatement and proof · cited by 39
- Affine.Simplex.faceOppositeCentroidstatement and proof · cited by 39
Showing the 200 most cited of 520.