Theorems · Definition · Lie groups
Homeomorph.addLeft
{G : Type w} → [inst : TopologicalSpace G] → [inst_1 : AddGroup G] → [SeparatelyContinuousAdd G] → G → G ≃ₜ GAddition from the left in a topological additive group as a homeomorphism.
- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 20 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
- AddGroupstatement and proof · cited by 4,410
- Equiv.Permproof · cited by 1,375
- Homeomorphstatement · cited by 725
- SeparatelyContinuousAddstatement and proof · cited by 83
- Equiv.addLeftproof · cited by 19
Cited by20
Results whose statement or proof uses this declaration.
- isOpenMap_add_leftproof · cited by 4
- map_add_left_nhdsproof · cited by 3
- isImmersionOfComplement_subtypeVal_Iccproof · cited by 3
- HasCompactSupport.convolutionExistsAtproof · cited by 2
- isClosedMap_add_leftproof · cited by 1
- Filter.map_add_left_nhdsNEproof · cited by 1
- MeasureTheory.Content.innerContent_pos_of_is_add_left_invariantproof · cited by 1
- MeasureTheory.Content.is_add_left_invariant_innerContentstatement and proof · cited by 1
- cardinal_eq_of_mem_nhdsproof · cited by 1
- vadd_connectedComponentproof · cited by 1
- isClosed_preCantorSetproof · cited by 1
- exists_homeomorph_image_eqproof · cited by 1