Theorems · Definition · geometry
AffineBasis.coords
{ι : Type u_1} →
{k : Type u_5} →
{V : Type u_6} →
{P : Type u_7} →
[inst : AddCommGroup V] →
[inst_1 : AddTorsor V P] → [inst_2 : Ring k] → [inst_3 : Module k V] → AffineBasis ι k P → P →ᵃ[k] ι → kBarycentric coordinates as an affine map.
- Defined in
- Mathlib.LinearAlgebra.AffineSpace.Basis
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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
- AffineMapstatement · cited by 674
- AffineBasisstatement and proof · cited by 65
- AffineBasis.coordproof · cited by 26
- AffineBasis.basisOfproof · cited by 11
- Module.Basis.sumCoordsproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- AffineBasis.toMatrix_vecMul_coordsstatement and proof · cited by 2
- AffineBasis.coords_applystatement · cited by 1
- AffineBasis.toMatrix_inv_vecMul_toMatrixstatement and proof · cited by 1
- AffineBasis.det_smul_coords_eq_cramer_coordsstatement and proof · cited by 0