Theorems · Theorem · general topology
Equiv.toHomeomorphOfIsInducing_symm_apply
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (f : X ≃ Y)
(hf : Topology.IsInducing ⇑f), ⇑(f.toHomeomorphOfIsInducing hf).symm = ⇑f.symm- Defined in
- Mathlib.Topology.Homeomorph.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Equivstatement and proof · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- Homeomorphstatement · cited by 725
- Homeomorph.symmstatement · cited by 365
- Topology.IsInducingstatement and proof · cited by 266
- Equiv.toHomeomorphOfIsInducingstatement · cited by 8
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