Theorems · Definition · geometry
ContinuousAffineMap.noConfusionType
Sort u →
{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] →
[inst_2 : Module R V] →
[inst_3 : TopologicalSpace P] →
[inst_4 : AddTorsor V P] →
[inst_5 : AddCommGroup W] →
[inst_6 : Module R W] →
[inst_7 : TopologicalSpace Q] →
[inst_8 : AddTorsor W Q] →
(P →ᴬ[R] Q) →
{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'] →
[inst'_2 : Module R' V'] →
[inst'_3 : TopologicalSpace P'] →
[inst'_4 : AddTorsor V' P'] →
[inst'_5 : AddCommGroup W'] →
[inst'_6 : Module R' W'] →
[inst'_7 : TopologicalSpace Q'] →
[inst'_8 : AddTorsor W' Q'] → (P' →ᴬ[R'] Q') → Sort u- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Continuousproof · cited by 2,592
- AddTorsorstatement and proof · cited by 1,657
- AffineMapproof · cited by 674
- ContinuousAffineMapstatement and proof · cited by 263
- AffineMap.toFunproof · cited by 15
- ContinuousAffineMap.casesOnproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousAffineMap.noConfusionstatement · cited by 0