Affine.Simplex.face_eq_mkOfPoint
∀ {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} (s : Affine.Simplex k P n) (i : Fin (n + 1)),
s.face ⋯ = Affine.Simplex.mkOfPoint k (s.points i)A single-point face equals the 0-simplex constructed with
mkOfPoint.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Finsetstatement · cited by 13,712
- 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
- Affine.Simplex.pointsstatement and proof · cited by 391
- Finset.card_singletonstatement · cited by 144
- Affine.Simplex.facestatement · cited by 35
- Affine.Simplex.extproof · cited by 9
- Affine.Simplex.mkOfPointstatement · cited by 4
- Finset.orderEmbOfFin_singletonproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Affine.Simplex.ExcenterExists.excenter_ne_pointproof · cited by 3