Theorems · Definition · geometry
AffineMap.const
(k : Type u_1) →
{V1 : Type u_2} →
(P1 : Type u_3) →
{V2 : Type u_4} →
{P2 : Type u_5} →
[inst : Ring k] →
[inst_1 : AddCommGroup V1] →
[inst_2 : Module k V1] →
[inst_3 : AddTorsor V1 P1] →
[inst_4 : AddCommGroup V2] → [inst_5 : Module k V2] → [inst_6 : AddTorsor V2 P2] → P2 → P1 →ᵃ[k] P2The constant function as an AffineMap.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- AffineMapstatement · cited by 674
Cited by19
Results whose statement or proof uses this declaration.
- AffineMap.lineMapproof · cited by 254
- AffineMap.homothetyproof · cited by 51
- AffineMap.lineMap_samestatement · cited by 13
- AffineMap.lineMap_vsub_leftproof · cited by 9
- ContinuousAffineMap.constproof · cited by 5
- AffineMap.toConstProdLinearMapproof · cited by 4
- convexOn_distproof · cited by 2
- AffineMap.const_applystatement · cited by 2
- AffineMap.homothetyAffineproof · cited by 1
- AffineMap.coe_conststatement · cited by 1
- AffineMap.toConstProdLinearMap_symm_applystatement · cited by 1
- AffineMap.linear_eq_zero_iff_exists_conststatement and proof · cited by 1