Theorems · Theorem · algebraic topology
ContractibleSpace.hequiv
∀ (X : Type u_1) (Y : Type u_2) [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [ContractibleSpace X] [ContractibleSpace Y], Nonempty (ContinuousMap.HomotopyEquiv X Y)
- Defined in
- Mathlib.Topology.Homotopy.Contractible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- ContinuousMap.HomotopyEquivstatement and proof · cited by 23
- ContractibleSpacestatement and proof · cited by 21
- ContinuousMap.HomotopyEquiv.symmproof · cited by 8
- ContinuousMap.HomotopyEquiv.transproof · cited by 6
- ContractibleSpace.hequiv_unit'proof · cited by 2
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