ContinuousAffineMap.cont
∀ {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] (self : P →ᴬ[R] Q),
Continuous (↑self).toFun- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 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
- Continuousstatement · cited by 2,592
- AddTorsorstatement and proof · cited by 1,657
- ContinuousAffineMapstatement and proof · cited by 263
- ContinuousAffineMap.toAffineMapstatement · cited by 28
- AffineMap.toFunstatement · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- ContinuousAffineMap.toContinuousMapproof · cited by 2
- ContinuousAffineMap.continuousproof · cited by 2