Theorems · Definition · geometry
ContinuousAffineMap.id
(R : Type u_1) →
{V : Type u_2} →
(P : Type u_4) →
[inst : Ring R] →
[inst_1 : AddCommGroup V] →
[inst_2 : Module R V] → [inst_3 : TopologicalSpace P] → [inst_4 : AddTorsor V P] → P →ᴬ[R] PThe identity map as a continuous affine map
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- 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
- AffineMapproof · cited by 674
- ContinuousAffineMapstatement · cited by 263
- continuous_idproof · cited by 192
- AffineMap.idproof · cited by 16
Cited by6
Results whose statement or proof uses this declaration.
- signedDistproof · cited by 42
- ContinuousAffineMap.comp_idstatement · cited by 0
- ContinuousAffineMap.id_compstatement · cited by 0
- ContinuousAffineMap.coe_idstatement · cited by 0
- signedDist_applystatement · cited by 0
- AffineIsometry.toContinuousAffineMap_idstatement · cited by 0