Theorems · Theorem · order theory
Filter.blimsup_and_le_inf
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] {f : Filter β} {p q : β → Prop} {u : β → α},
(Filter.blimsup u f fun x => p x ∧ q x) ≤ Filter.blimsup u f p ⊓ Filter.blimsup u f q- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 13 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.
Cites5
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
- CompleteLatticestatement and proof · cited by 1,048
- le_infproof · cited by 107
- Filter.blimsupstatement · cited by 40
- Filter.blimsup_monoproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Filter.bliminf_sup_le_andproof · cited by 2
- Filter.bliminf_sup_le_inf_aux_leftproof · cited by 0
- Filter.bliminf_sup_le_inf_aux_rightproof · cited by 0