Theorems · Theorem · general topology
Homeomorph.opensCongr_apply
∀ {α : Type u_2} {β : Type u_3} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] (f : α ≃ₜ β),
⇑f.opensCongr = ⇑(TopologicalSpace.Opens.comap ↑f.symm)- Defined in
- Mathlib.Topology.Sets.Opens
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites10
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
- TopologicalSpace.Opensstatement · cited by 2,040
- Homeomorphstatement and proof · cited by 725
- RelIsostatement · cited by 456
- Homeomorph.symmstatement · cited by 365
- toContinuousMapstatement · cited by 99
- FrameHomstatement · cited by 70
- TopologicalSpace.Opens.comapstatement · cited by 32
- Homeomorph.opensCongrstatement and proof · cited by 2
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