Theorems · Theorem · general topology
ENNReal.limsup_const_sub
∀ {ι : Type u_4} (F : Filter ι) (f : ι → ENNReal) {c : ENNReal},
c ≠ ⊤ → Filter.limsup (fun i => c - f i) F = c - Filter.liminf f F- Cited by
- 0 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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
- Top.topstatement and proof · cited by 9,680
- Filterstatement and proof · cited by 8,121
- Bot.botproof · cited by 4,720
- Filter.NeBotproof · cited by 853
- Continuous.continuousAtproof · cited by 297
- Filter.limsupstatement · cited by 226
- Filter.liminfstatement · cited by 198
- bot_eq_zero'proof · cited by 92
- Filter.eq_or_neBotproof · cited by 62
- Filter.isBounded_ge_of_botproof · cited by 55
- Filter.isCobounded_ge_of_topproof · cited by 38
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