Theorems · Theorem · general topology
TopologicalSpace.Compacts.ext_iff
∀ {α : Type u_1} [inst : TopologicalSpace α] {s t : TopologicalSpace.Compacts α}, s = t ↔ ↑s = ↑t- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement and proof · cited by 8,199
- TopologicalSpace.Compactsstatement and proof · cited by 386
- TopologicalSpace.Compacts.extproof · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.