Theorems · Theorem · algebraic topology
Homeomorph.symm_toHomotopyEquiv
∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
h.symm.toHomotopyEquiv = h.toHomotopyEquiv.symm- Defined in
- Mathlib.Topology.Homotopy.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Homeomorphstatement and proof · cited by 725
- Homeomorph.symmstatement · cited by 365
- ContinuousMap.HomotopyEquivstatement · cited by 23
- ContinuousMap.HomotopyEquiv.symmstatement · cited by 8
- Homeomorph.toHomotopyEquivstatement · cited by 7
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