Theorems · Inductive type · Lie groups
IsTopologicalTorsor
{V : Type u_1} → [inst : Group V] → [TopologicalSpace V] → (P : Type u_2) → [Torsor V P] → [TopologicalSpace P] → PropA topological torsor over a topological group is a torsor where • and /ₛ are continuous.
- Defined in
- Mathlib.Topology.Algebra.Group.Torsor
- Cited by
- 11 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
- Groupstatement · cited by 6,238
- Torsorstatement · cited by 65
Cited by15
Results whose statement or proof uses this declaration.
- Filter.Tendsto.sdivstatement and proof · cited by 2
- Homeomorph.smulConststatement and proof · cited by 2
- IsTopologicalTorsor.continuous_sdivstatement and proof · cited by 2
- Homeomorph.constSDivstatement and proof · cited by 2
- ContinuousWithinAt.sdivstatement and proof · cited by 1
- Homeomorph.smulConst_applystatement and proof · cited by 0
- Homeomorph.smulConst_symm_applystatement and proof · cited by 0
- ContinuousOn.sdivstatement and proof · cited by 0
- Continuous.sdivstatement and proof · cited by 0
- IsTopologicalTorsor.casesOnstatement and proof · cited by 0
- ContinuousAt.sdivstatement and proof · cited by 0
- IsTopologicalTorsor.recOnstatement and proof · cited by 0