Theorems · Definition · Lie groups
ContinuousAddEquiv.toHomeomorph
{G : Type u} →
[inst : TopologicalSpace G] →
{H : Type v} → [inst_1 : TopologicalSpace H] → [inst_2 : Add G] → [inst_3 : Add H] → G ≃ₜ+ H → G ≃ₜ HThe homeomorphism induced from a two-sided continuous isomorphism additive groups.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Homeomorphstatement · cited by 725
- AddEquiv.toEquivproof · cited by 174
- ContinuousAddEquivstatement and proof · cited by 61
- ContinuousAddEquiv.toAddEquivproof · cited by 13
- ContinuousAddEquiv.continuous_invFunproof · cited by 0
- ContinuousAddEquiv.continuous_toFunproof · cited by 0
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.addEquivAddHaarChar_smul_mapproof · cited by 3
- MeasureTheory.addEquivAddHaarChar_transproof · cited by 1
- AddSubgroup.discreteTopology_iff_of_isFiniteRelIndexproof · cited by 1
- MeasureTheory.integral_comap_eq_addEquivAddHaarChar_smulproof · cited by 0
- MeasureTheory.addEquivAddHaarChar_smul_eq_comapproof · cited by 0
- MeasureTheory.addEquivAddHaarChar_smul_preimageproof · cited by 0
- MeasureTheory.Measure.addHaarScalarFactor_mapproof · cited by 0
- ContinuousAddEquiv.toHomeomorph_eq_coestatement · cited by 0