Theorems · Theorem · Lie groups
IsTopologicalAddTorsor.to_isTopologicalAddGroup
∀ (V : Type u_1) (P : Type u_2) [inst : AddGroup V] [inst_1 : TopologicalSpace V] [inst_2 : AddTorsor V P] [inst_3 : TopologicalSpace P] [IsTopologicalAddTorsor P], IsTopologicalAddGroup V
The underlying group of a topological additive torsor is a topological additive
group. This is not an instance, as P cannot be inferred.
- Defined in
- Mathlib.Topology.Algebra.Group.Torsor
- Cited by
- 1 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
- AddGroupstatement and proof · cited by 4,410
- AddTorsorstatement and proof · cited by 1,657
- IsTopologicalAddGroupstatement · cited by 1,394
- IsTopologicalAddTorsorstatement and proof · cited by 80
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousAffineMap.decompEquiv_symm_contLinearproof · cited by 2