Theorems · Theorem · general topology
Filter.iSup_sets_eq
∀ {α : Type u} {ι : Sort x} {f : ι → Filter α}, (iSup f).sets = ⋂ i, (f i).sets- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Filterstatement and proof · cited by 8,121
- iSupstatement · cited by 2,415
- Set.iInterstatement · cited by 1,084
- GaloisInsertion.gcproof · cited by 137
- Filter.setsstatement · cited by 56
- GaloisConnection.u_iInfproof · cited by 40
- Filter.giGenerateproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Filter.mem_iSupproof · cited by 3