Affine.Simplex.faceOpposite_point_eq_point_rev
∀ {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] (s : Affine.Simplex k P 1) (i : Fin 2) (n : Fin 1),
(s.faceOpposite i).points n = s.points i.rev- Cited by
- 4 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Affine.Simplex.pointsstatement and proof · cited by 391
- Fin.succAboveproof · cited by 249
- Affine.Simplex.faceOppositestatement · cited by 103
- Affine.Simplex.faceOpposite_point_eq_point_succAboveproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_revproof · cited by 1
- Affine.Simplex.altitudeFoot_eq_point_revproof · cited by 1
- Affine.Simplex.faceOpposite_point_eq_point_oneproof · cited by 0
- Affine.Simplex.faceOpposite_point_eq_point_zeroproof · cited by 0