Theorems · Definition · general topology
WithTop.neTopHomeomorph
(ι : Type u_1) → [inst : LinearOrder ι] → [inst_1 : TopologicalSpace ι] → [inst_2 : OrderTopology ι] → ↑{a | a ≠ ⊤} ≃ₜ ιHomeomorphism between the non-top elements of WithTop ι and ι.
- Defined in
- Mathlib.Topology.Order.WithTop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Top.topstatement and proof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- Equivproof · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Set.ofPredstatement and proof · cited by 6,101
- WithTopstatement and proof · cited by 3,754
- OrderTopologystatement and proof · cited by 1,355
- Homeomorphstatement · cited by 725
- Equiv.withTopSubtypeNeproof · cited by 3
- WithTop.continuous_untopproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- WithTop.MeasurableEquiv.neTopEquivproof · cited by 1