Theorems · Definition · geometry
Polygon.edgeSet
(R : Type u_1) →
{V : Type u_2} →
{P : Type u_3} →
{n : ℕ} →
[inst : Ring R] →
[inst_1 : AddCommGroup V] → [Module R V] → [AddTorsor V P] → [PartialOrder R] → Polygon P n → Fin n → Set PThe i-th edge as a set of points using an affineSegment.
- Defined in
- Mathlib.Geometry.Polygon.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- AddTorsorstatement and proof · cited by 1,657
- finRotateproof · cited by 36
- affineSegmentproof · cited by 22
- Polygonstatement and proof · cited by 12
- Polygon.verticesproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Polygon.edgeSet_eq_image_edgePathstatement · cited by 0
- Polygon.boundaryproof · cited by 0