Theorems · Definition · Lie groups
Homeomorph.divLeft
{G : Type w} → [inst : Group G] → [inst_1 : TopologicalSpace G] → [IsTopologicalGroup G] → G → G ≃ₜ GA version of Homeomorph.mulLeft a b⁻¹ that is defeq to a / b.
- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 10 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.
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
- Equivproof · cited by 8,337
- Groupstatement and proof · cited by 6,238
- Homeomorphstatement · cited by 725
- IsTopologicalGroupstatement and proof · cited by 469
- Equiv.divLeftproof · cited by 7
Cited by10
Results whose statement or proof uses this declaration.
- Homeomorph.divLeft_applystatement and proof · cited by 3
- isOpenMap_div_leftproof · cited by 1
- isClosedMap_div_leftproof · cited by 0
- Homeomorph.divLeft.congr_simpstatement and proof · cited by 0
- Filter.map_divLeft_nhdsproof · cited by 0
- Homeomorph.coe_divLeftstatement · cited by 0
- Filter.map_divLeft_nhdsGTproof · cited by 0
- Filter.map_divLeft_nhdsLTproof · cited by 0
- Filter.map_divLeft_nhdsNEproof · cited by 0
- Homeomorph.divLeft_symm_applystatement and proof · cited by 0