Theorems · Theorem · general topology
Filter.iInf_eq_generate
∀ {α : Type u} {ι : Sort x} (s : ι → Filter α), iInf s = Filter.generate (⋃ i, (s 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.
Cites7
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
- Set.iUnionstatement · cited by 2,483
- iInfstatement · cited by 1,690
- eq_of_forall_le_iffproof · cited by 65
- Filter.setsstatement · cited by 56
- Filter.generatestatement · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- Filter.mem_iInfproof · cited by 1