Theorems · Definition · Lie groups
toAddUnits_homeomorph
{G : Type w} → [inst : AddGroup G] → [inst_1 : TopologicalSpace G] → [ContinuousNeg G] → G ≃ₜ AddUnits GIf G is an additive group with topological negation, then it is homeomorphic to
its additive units.
- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Equivproof · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- Homeomorphstatement · cited by 725
- AddUnitsstatement and proof · cited by 325
- AddEquiv.toEquivproof · cited by 174
- ContinuousNegstatement and proof · cited by 119
- toAddUnitsproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- AddUnits.isEmbedding_valproof · cited by 0