Theorems · Definition · geometry
Affine.Triangle.toPolygon
{R : Type u_1} →
{V : Type u_2} →
{P : Type u_3} →
[inst : Ring R] →
[inst_1 : AddCommGroup V] → [inst_2 : Module R V] → [inst_3 : AddTorsor V P] → Affine.Triangle R P ↪ Polygon P 3Embedding from affine triangles to polygons with 3 vertices.
- Defined in
- Mathlib.Geometry.Polygon.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Function.Embeddingstatement · cited by 988
- Affine.Simplex.pointsproof · cited by 391
- Affine.Trianglestatement and proof · cited by 75
- Polygonstatement · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- Affine.Triangle.toPolygon_hasNondegenerateVerticesstatement · cited by 1
- Polygon.toTriangle_toPolygonstatement and proof · cited by 0
- Affine.Triangle.toPolygon_toTrianglestatement and proof · cited by 0
- Affine.Triangle.toPolygon_verticesstatement · cited by 0