Theorems · Theorem · general topology
TopologicalSpace.Compacts.equiv_apply
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] (f : α ≃ₜ β)
(K : TopologicalSpace.Compacts α), (TopologicalSpace.Compacts.equiv f) K = TopologicalSpace.Compacts.map ⇑f ⋯ K- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 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 · cited by 8,337
- Homeomorphstatement and proof · cited by 725
- TopologicalSpace.Compactsstatement and proof · cited by 386
- Homeomorph.continuousstatement · cited by 53
- TopologicalSpace.Compacts.mapstatement · cited by 37
- TopologicalSpace.Compacts.equivstatement and proof · cited by 7
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