Theorems · Theorem · algebraic topology
ContinuousMap.HomotopyEquiv.contractibleSpace
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [ContractibleSpace Y]
(e : ContinuousMap.HomotopyEquiv X Y), ContractibleSpace X- Defined in
- Mathlib.Topology.Homotopy.Contractible
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Nonempty.mapproof · cited by 101
- ContinuousMap.HomotopyEquivstatement and proof · cited by 23
- ContractibleSpacestatement and proof · cited by 21
- ContinuousMap.HomotopyEquiv.transproof · cited by 6
- ContractibleSpace.hequiv_unitproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousMap.HomotopyEquiv.contractibleSpace_iffproof · cited by 1
- Homeomorph.contractibleSpaceproof · cited by 0