Theorems · Inductive type · Lie groups
IsTopologicalAddTorsor
{V : Type u_1} →
[inst : AddGroup V] → [TopologicalSpace V] → (P : Type u_2) → [AddTorsor V P] → [TopologicalSpace P] → PropA topological torsor over a topological additive group is a torsor where +ᵥ and -ᵥ are
continuous.
- Defined in
- Mathlib.Topology.Algebra.Group.Torsor
- Cited by
- 80 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- AddGroupstatement · cited by 4,410
- AddTorsorstatement · cited by 1,657
Cited by91
Results whose statement or proof uses this declaration.
- ContinuousAffineMap.contLinearstatement and proof · cited by 45
- Homeomorph.vaddConststatement and proof · cited by 8
- AffineMap.lineMap_continuousstatement and proof · cited by 7
- ContinuousAffineEquiv.pointReflectionstatement and proof · cited by 6
- ContinuousAffineMap.decompEquivstatement and proof · cited by 6
- AffineMap.lineMap_continuous_uncurrystatement and proof · cited by 5
- ContinuousAffineMap.decompAffineEquivstatement and proof · cited by 5
- Filter.Tendsto.vsubstatement and proof · cited by 5
- Homeomorph.vaddConst_symm_applystatement and proof · cited by 4
- Homeomorph.constVSubstatement and proof · cited by 4
- ContinuousAffineEquiv.constVSubstatement and proof · cited by 3
- ContinuousAffineEquiv.vaddConststatement and proof · cited by 3