Theorems · Theorem · order theory
Filter.blimsup_mono
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] {f : Filter β} {p q : β → Prop} {u : β → α},
(∀ (x : β), p x → q x) → Filter.blimsup u f p ≤ Filter.blimsup u f q- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
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.
- Filterstatement and proof · cited by 8,121
- Set.ofPredproof · cited by 6,101
- Filter.Eventuallyproof · cited by 3,134
- CompleteLatticestatement and proof · cited by 1,048
- Filter.Eventually.monoproof · cited by 646
- Filter.blimsupstatement · cited by 40
- sInf_le_sInfproof · cited by 23
Cited by2
Results whose statement or proof uses this declaration.
- Filter.blimsup_and_le_infproof · cited by 3
- Filter.blimsup_sup_le_orproof · cited by 3