Theorems · Inductive type · geometry
ContinuousAffineMap
(R : Type u_1) →
{V : Type u_2} →
{W : Type u_3} →
(P : Type u_4) →
(Q : Type u_5) →
[inst : Ring R] →
[inst_1 : AddCommGroup V] →
[Module R V] →
[TopologicalSpace P] →
[AddTorsor V P] →
[inst_5 : AddCommGroup W] →
[Module R W] → [TopologicalSpace Q] → [AddTorsor W Q] → Type (max (max (max u_2 u_3) u_4) u_5)A continuous map of affine spaces
- Cited by
- 263 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 26 definitions · uses no axioms
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.
- TopologicalSpacestatement · cited by 24,529
- Modulestatement · cited by 20,661
- AddCommGroupstatement · cited by 12,871
- Ringstatement · cited by 7,463
- AddTorsorstatement · cited by 1,657
Cited by292
Results whose statement or proof uses this declaration.
- EuclideanGeometry.orthogonalProjectionstatement · cited by 85
- ContinuousAffineMap.contLinearstatement and proof · cited by 45
- signedDiststatement · cited by 42
- Affine.Simplex.orthogonalProjectionSpanstatement · cited by 33
- ContinuousAffineMap.toAffineMapstatement and proof · cited by 28
- EuclideanGeometry.orthogonalProjection_memstatement · cited by 19
- Affine.Simplex.signedInfDiststatement · cited by 19
- EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonalstatement · cited by 14
- AffineSubspace.signedInfDiststatement · cited by 10
- EuclideanGeometry.orthogonalProjection_eq_self_iffstatement · cited by 10
- ContinuousAffineMap.compstatement and proof · cited by 8
- ContinuousAffineMap.extstatement and proof · cited by 8
Showing the 200 most cited of 292.