Theorems · Definition · geometry
AffineMap.homothetyAffine
{k : Type u_2} →
{V1 : Type u_3} →
{P1 : Type u_4} →
[inst : CommRing k] →
[inst_1 : AddCommGroup V1] → [inst_2 : AddTorsor V1 P1] → [inst_3 : Module k V1] → P1 → k →ᵃ[k] P1 →ᵃ[k] P1homothety as an affine map.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- AddTorsorstatement and proof · cited by 1,657
- VSub.vsubproof · cited by 817
- AffineMapstatement and proof · cited by 674
- LinearMap.flipproof · cited by 193
- AffineMap.homothetyproof · cited by 51
- LinearMap.lsmulproof · cited by 50
- AffineMap.idproof · cited by 16
- AffineMap.constproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- AffineMap.coe_homothetyAffinestatement · cited by 0