Theorems · Theorem · algebraic topology
ContractibleSpace.hequiv_unit
∀ (X : Type u_1) [inst : TopologicalSpace X] [ContractibleSpace X], Nonempty (ContinuousMap.HomotopyEquiv X Unit)
- Defined in
- Mathlib.Topology.Homotopy.Contractible
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- ContinuousMap.HomotopyEquivstatement · cited by 23
- ContractibleSpacestatement and proof · cited by 21
- ContractibleSpace.hequiv_unit'proof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousMap.HomotopyEquiv.contractibleSpaceproof · cited by 2
- id_nullhomotopicproof · cited by 2