Theorems · Theorem · general topology
TopologicalSpace.PositiveCompacts.ext
∀ {α : Type u_1} [inst : TopologicalSpace α] {s t : TopologicalSpace.PositiveCompacts α}, ↑s = ↑t → s = t- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 55 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.PositiveCompactsstatement and proof · cited by 112
- SetLike.ext'proof · cited by 60
Cited by6
Results whose statement or proof uses this declaration.
- Module.Basis.parallelepiped_mapproof · cited by 1
- Module.Basis.parallelepiped_reindexproof · cited by 1
- Module.Basis.prod_parallelepipedproof · cited by 1
- TopologicalSpace.PositiveCompacts.map_compproof · cited by 0
- TopologicalSpace.PositiveCompacts.map_idproof · cited by 0
- TopologicalSpace.PositiveCompacts.ext_iffproof · cited by 0