Theorems · Theorem · order theory
Filter.blimsup_congr
∀ {α : Type u_1} {β : Type u_2} [inst : ConditionallyCompleteLattice α] {f : Filter β} {u v : β → α} {p : β → Prop},
(∀ᶠ (a : β) in f, p a → u a = v a) → Filter.blimsup u f p = Filter.blimsup v f p- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ConditionallyCompleteLattice
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
- Filter.Eventuallystatement and proof · cited by 3,134
- ConditionallyCompleteLatticestatement and proof · cited by 364
- Filter.blimsupstatement · cited by 40
- Filter.limsup_congrproof · cited by 20
- Filter.eventually_inf_principalproof · cited by 18
- Filter.blimsup_eq_limsupproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Filter.limsup_piecewiseproof · cited by 2
- blimsup_cthickening_mul_ae_eqproof · cited by 2
- Filter.bliminf_congrproof · cited by 0
- AddCircle.addWellApproximable_ae_empty_or_univproof · cited by 0