Theorems · Theorem · order theory
Filter.bliminf_sup_le_and
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] {f : Filter β} {p q : β → Prop} {u : β → α},
Filter.bliminf u f p ⊔ Filter.bliminf u f q ≤ Filter.bliminf u f fun x => p x ∧ q x- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 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.
Cites4
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
- Filter.bliminfstatement · cited by 27
- Filter.blimsup_and_le_infproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Filter.bliminf_sup_le_and_aux_leftproof · cited by 0
- Filter.bliminf_sup_le_and_aux_rightproof · cited by 0