Theorems · Theorem · general topology
Filter.sSup_sets_eq
∀ {α : Type u} {s : Set (Filter α)}, (sSup s).sets = ⋂ f ∈ s, f.sets- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 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.
- Setstatement and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.iInterstatement · cited by 1,084
- SupSet.sSupstatement · cited by 954
- GaloisInsertion.gcproof · cited by 137
- Filter.setsstatement · cited by 56
- GaloisConnection.u_sInfproof · cited by 11
- Filter.giGenerateproof · cited by 6
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