Theorems · Theorem · Lie groups
AddOpposite.opHomeomorph_symm_apply
∀ {M : Type u_1} [inst : TopologicalSpace M] (a : Mᵃᵒᵖ), AddOpposite.opHomeomorph.symm a = AddOpposite.unop a- Defined in
- Mathlib.Topology.Algebra.Constructions
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 74 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Homeomorphstatement · cited by 725
- AddOppositestatement and proof · cited by 452
- Homeomorph.symmstatement and proof · cited by 365
- AddOpposite.unopstatement · cited by 125
- AddOpposite.opHomeomorphstatement and proof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- AddUnits.continuous_iffproof · cited by 3
- AddUnits.isOpenMap_mapproof · cited by 0
- AddOpposite.comap_op_rightUniformSpaceproof · cited by 0
- AddOpposite.comap_op_leftUniformSpaceproof · cited by 0