Theorems · Theorem · order theory
Filter.blimsup_or_eq_sup
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteDistribLattice 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
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteDistribLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.principalproof · cited by 740
- Filter.limsupproof · cited by 226
- Filter.blimsupstatement · cited by 40
- CompleteDistribLatticestatement and proof · cited by 17
- Filter.sup_principalproof · cited by 8
- Filter.blimsup_eq_limsupproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- blimsup_cthickening_mul_ae_eqproof · cited by 2
- Filter.bliminf_or_eq_infproof · cited by 0