Theorems · Theorem · general topology
Filter.isBounded_sup
∀ {α : Type u_1} {r : α → α → Prop} {f g : Filter α} [IsTrans α r] [IsDirected α r],
Filter.IsBounded r f → Filter.IsBounded r g → Filter.IsBounded r (f ⊔ g)- Defined in
- Mathlib.Order.Filter.IsBounded
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- IsTransIsDirected
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Filter.Eventuallyproof · cited by 3,134
- Filter.Eventually.monoproof · cited by 646
- IsTransstatement and proof · cited by 157
- transproof · cited by 111
- Filter.IsBoundedstatement and proof · cited by 45
- IsDirectedstatement and proof · cited by 16
- directed_ofproof · cited by 14
- Filter.eventually_supproof · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.