Theorems · Definition · Lie groups
MulOpposite.opHomeomorph
{M : Type u_1} → [inst : TopologicalSpace M] → M ≃ₜ MᵐᵒᵖMulOpposite.op as a homeomorphism.
- Defined in
- Mathlib.Topology.Algebra.Constructions
- Cited by
- 17 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
- MulOppositestatement and proof · cited by 1,135
- Homeomorphstatement · cited by 725
- MulOpposite.opEquivproof · cited by 24
Cited by17
Results whose statement or proof uses this declaration.
- MulOpposite.opHomeomorph_symm_applystatement and proof · cited by 5
- tsum_opproof · cited by 3
- Units.continuous_iffproof · cited by 3
- MulOpposite.opHomeomorph_applystatement and proof · cited by 2
- compact_open_separated_mul_leftproof · cited by 1
- Topology.IsEmbedding.units_mapproof · cited by 1
- Topology.IsInducing.units_mapproof · cited by 1
- Topology.IsClosedEmbedding.units_mapproof · cited by 1
- Units.isOpenMap_mapproof · cited by 0
- IsOpenUnits.of_isAdicproof · cited by 0
- Submonoid.units_isCompactproof · cited by 0
- MulOpposite.map_op_nhdsproof · cited by 0