Theorems · Theorem · real analysis
ENNReal.limsup_mul_const
∀ {α : Type u_1} {f : Filter α} [CountableInterFilter f] {u : α → ENNReal} {a : ENNReal},
Filter.limsup (fun x => u x * a) f = a * Filter.limsup u f- Defined in
- Mathlib.Order.Filter.ENNReal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CountableInterFilter
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Filterstatement and proof · cited by 8,121
- mul_commproof · cited by 2,262
- Filter.limsupstatement and proof · cited by 226
- CountableInterFilterstatement and proof · cited by 78
- ENNReal.limsup_const_mulproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.