Theorems · Theorem · general topology
TopologicalSpace.mkOfClosure_sets
∀ {α : Type u} {s : Set (Set α)} {hs : {u | TopologicalSpace.GenerateOpen s u} = s},
TopologicalSpace.mkOfClosure s hs = TopologicalSpace.generateFrom s- Defined in
- Mathlib.Topology.Order
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- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, 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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement · cited by 24,529
- Set.ofPredstatement and proof · cited by 6,101
- Set.ext_iffproof · cited by 90
- TopologicalSpace.generateFromstatement · cited by 62
- TopologicalSpace.extproof · cited by 15
- TopologicalSpace.GenerateOpenstatement and proof · cited by 12
- TopologicalSpace.mkOfClosurestatement · cited by 1
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