Theorems · Theorem · order theory
Filter.iInf_le_liminf
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] {f : Filter β} {u : β → α}, ⨅ n, u n ≤ Filter.liminf u f- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- CompleteLattice
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Cites8
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
- iInfstatement · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- Filter.Eventually.of_forallproof · cited by 526
- Filter.liminfstatement · cited by 198
- iInf_leproof · cited by 104
- Filter.isCobounded_ge_of_topproof · cited by 38
- Filter.le_liminf_of_leproof · cited by 9
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