Theorems · Definition · Lie groups
AddOpposite.opHomeomorph
{M : Type u_1} → [inst : TopologicalSpace M] → M ≃ₜ MᵃᵒᵖAddOpposite.op as a homeomorphism.
- Defined in
- Mathlib.Topology.Algebra.Constructions
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Homeomorphstatement · cited by 725
- AddOppositestatement and proof · cited by 452
- AddOpposite.opEquivproof · cited by 20
Cited by13
Results whose statement or proof uses this declaration.
- AddOpposite.opHomeomorph_symm_applystatement and proof · cited by 4
- AddUnits.continuous_iffproof · cited by 3
- compact_open_separated_add_leftproof · cited by 2
- AddOpposite.opHomeomorph_applystatement and proof · cited by 1
- AddUnits.isOpenMap_mapproof · cited by 0
- Topology.IsInducing.addUnits_mapproof · cited by 0
- AddOpposite.map_op_nhdsproof · cited by 0
- AddOpposite.map_unop_nhdsproof · cited by 0
- AddOpposite.comap_unop_nhdsproof · cited by 0
- AddOpposite.comap_op_leftUniformSpaceproof · cited by 0
- AddOpposite.comap_op_nhdsproof · cited by 0
- AddOpposite.comap_op_rightUniformSpaceproof · cited by 0