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Theorems · Theorem · general topology

Filter.FilterBasis.ofSets_sets

∀ {α : Type u_1} (s : Set (Set α)), (Filter.FilterBasis.ofSets s).sets = Set.sInter '' {t | t.Finite ∧ t ⊆ s}
Defined in
Mathlib.Order.Filter.Bases.Finite
Cited by
2 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.generate_eq_generate_inter · cited by 1Filter.generate_eq_genera…Filter.ofSets_filter_eq_generate · cited by 0Filter.ofSets_filter_eq_g…Set · cited by 53352SetSet.ofPred · cited by 6101Set.ofPredSet.image · cited by 5609Set.imageSet.Finite · cited by 1814Set.FiniteSet.sInter · cited by 225Set.sInterFilterBasis.sets · cited by 42FilterBasis.setsFilter.FilterBasis.ofSets · cited by 3FilterBasis.ofSetsFilterBasis.ofSets_setsCITED BYCITES

Cites7

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Cited by2

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