Theorems · Theorem · Lie groups
IsTopologicalTorsor.to_isTopologicalGroup
∀ (V : Type u_1) (P : Type u_2) [inst : Group V] [inst_1 : TopologicalSpace V] [inst_2 : Torsor V P] [inst_3 : TopologicalSpace P] [IsTopologicalTorsor P], IsTopologicalGroup V
The underlying group of a topological torsor is a topological group. This is not an instance, as
P cannot be inferred.
- Defined in
- Mathlib.Topology.Algebra.Group.Torsor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Groupstatement and proof · cited by 6,238
- IsTopologicalGroupstatement · cited by 469
- Torsorstatement and proof · cited by 65
- IsTopologicalTorsorstatement and proof · cited by 11
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.