Theorems · Definition · Lie groups
Homeomorph.mulRight
{G : Type w} → [inst : TopologicalSpace G] → [inst_1 : Group G] → [SeparatelyContinuousMul G] → G → G ≃ₜ GMultiplication from the right in a topological group as a homeomorphism.
- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Equiv.Permproof · cited by 1,375
- Homeomorphstatement · cited by 725
- SeparatelyContinuousMulstatement and proof · cited by 133
- Equiv.mulRightproof · cited by 21
Cited by13
Results whose statement or proof uses this declaration.
- nhds_translation_mul_invproof · cited by 4
- MeasureTheory.Measure.modularCharacterFun_eq_haarScalarFactorproof · cited by 3
- isOpenMap_mul_rightproof · cited by 3
- map_mul_right_nhdsproof · cited by 2
- isClosedMap_mul_rightproof · cited by 2
- Filter.map_mul_right_nhdsGTproof · cited by 0
- Filter.map_mul_right_nhdsLTproof · cited by 0
- Filter.map_mul_right_nhdsNEproof · cited by 0
- Homeomorph.mulRight.congr_simpstatement and proof · cited by 0
- Homeomorph.coe_mulRightstatement · cited by 0
- Homeomorph.mulRight_symmstatement and proof · cited by 0