Mathlib Map

Theorems · Definition · geometry

Polygon.vertices

{P : Type u_1} → {n : ℕ} → Polygon P n → Fin n → P

The vertices of the polygon, indexed by Fin n.

Defined in
Mathlib.Geometry.Polygon.Basic
Cited by
5 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Polygon.HasNondegenerateVertices · cited by 5Polygon.HasNondegenerateV…Polygon.toTriangle · cited by 3Polygon.toTrianglePolygon.HasNondegenerateEdges · cited by 2Polygon.HasNondegenerateE…Polygon.HasNondegenerateEdges.two_le · cited by 1HasNondegenerateEdges.two…Polygon.HasNondegenerateVertices.hasNondegenerateEdges · cited by 1HasNondegenerateVertices.…Polygon.edgePath · cited by 1Polygon.edgePathPolygon.edgeSet · cited by 1Polygon.edgeSetPolygon.toTriangle_points · cited by 0Polygon.toTriangle_pointsPolygon.HasNondegenerateVertices.three_le · cited by 0HasNondegenerateVertices.…Affine.Triangle.toPolygon_vertices · cited by 0Triangle.toPolygon_vertic…Polygon · cited by 12PolygonPolygon.verticesCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Polygonstatement and proof · cited by 12

Cited by10

Results whose statement or proof uses this declaration.