Theorems · Definition · geometry
LinearMap.toAffineMap
{k : Type u_1} →
{V₁ : Type u_2} →
{V₂ : Type u_3} →
[inst : Ring k] →
[inst_1 : AddCommGroup V₁] →
[inst_2 : Module k V₁] → [inst_3 : AddCommGroup V₂] → [inst_4 : Module k V₂] → (V₁ →ₗ[k] V₂) → V₁ →ᵃ[k] V₂Reinterpret a linear map as an affine map.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- RingHom.idstatement and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- Ringstatement and proof · cited by 7,463
- AffineMapstatement · cited by 674
Cited by22
Results whose statement or proof uses this declaration.
- AffineMap.lineMapproof · cited by 254
- AffineSubspace.pointwiseSMulproof · cited by 9
- AffineMap.lineMap_vsub_leftproof · cited by 9
- AffineMap.toConstProdLinearMapproof · cited by 4
- LinearIsometry.toAffineIsometryproof · cited by 4
- AffineMap.lineMap_linearproof · cited by 2
- fintypeAffineCoordsproof · cited by 2
- AffineMap.toConstProdLinearMap_symm_applystatement · cited by 1
- LinearMap.slope_compproof · cited by 1
- Real.doublingGamma_log_convex_Ioiproof · cited by 1
- finsuppAffineCoordsproof · cited by 1
- AffineSubspace.direction_smulproof · cited by 0