Theorems · Theorem · general topology
EReal.le_liminf_mul
∀ {α : Type u_3} {f : Filter α} {u v : α → EReal},
0 ≤ᶠ[f] u → 0 ≤ᶠ[f] v → Filter.liminf u f * Filter.liminf v f ≤ Filter.liminf (u * v) f- Defined in
- Mathlib.Topology.Instances.EReal.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- Set.Iooproof · cited by 1,214
- ERealstatement and proof · cited by 793
- LT.lt.trans_leproof · cited by 678
- Filter.Eventually.monoproof · cited by 646
- mul_nonnegproof · cited by 397
- Filter.EventuallyLEstatement and proof · cited by 383
- Filter.liminfstatement and proof · cited by 198
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