Theorems · Theorem · general topology
EReal.limsup_add_le_of_le
∀ {α : Type u_3} {f : Filter α} {u v : α → EReal} {a b : EReal},
Filter.limsup u f < a → Filter.limsup v f ≤ b → Filter.limsup (u + v) f ≤ a + b- Defined in
- Mathlib.Topology.Instances.EReal.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Filterstatement and proof · cited by 8,121
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- LT.lt.neproof · cited by 872
- LE.le.trans_ltproof · cited by 795
- ERealstatement and proof · cited by 793
- add_le_addproof · cited by 666
- le_topproof · cited by 411
- Filter.limsupstatement and proof · cited by 226
- LT.lt.ne_topproof · cited by 34
- LT.lt.ne_botproof · cited by 26
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