Theorems · Theorem · general topology
EReal.le_liminf_add
∀ {α : Type u_3} {f : Filter α} {u v : α → EReal}, Filter.liminf u f + Filter.liminf v f ≤ Filter.liminf (u + v) f- Defined in
- Mathlib.Topology.Instances.EReal.Lemmas
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- ERealstatement and proof · cited by 793
- LT.lt.transproof · cited by 370
- Filter.liminfstatement and proof · cited by 198
- Filter.isBounded_ge_of_botproof · cited by 55
- Filter.isCobounded_ge_of_topproof · cited by 38
- Filter.eventually_lt_of_lt_liminfproof · cited by 17
- EReal.add_lt_addproof · cited by 12
- Filter.le_liminf_iffproof · cited by 9
- EReal.add_le_of_forall_ltproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- ExpGrowth.le_expGrowthInf_mulproof · cited by 1
- EReal.liminf_add_top_of_ne_botproof · cited by 0
- LinearGrowth.le_linearGrowthInf_addproof · cited by 0
- EReal.liminf_add_gt_of_gtproof · cited by 0