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Theorems · Theorem · order theory

Filter.bliminf_true

∀ {α : Type u_1} {β : Type u_2} [inst : ConditionallyCompleteLattice α] (f : Filter β) (u : β → α),
  (Filter.bliminf u f fun x => True) = Filter.liminf u f
Defined in
Mathlib.Order.LiminfLimsup
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Quot.sound
Assumes
ConditionallyCompleteLattice
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.cofinite.liminf_set_eq · cited by 0cofinite.liminf_set_eqFilter · cited by 8121FilterSet.ofPred · cited by 6101Set.ofPredFilter.Eventually · cited by 3134Filter.EventuallySupSet.sSup · cited by 954SupSet.sSupConditionallyCompleteLattice · cited by 364ConditionallyCompleteLatt…Filter.liminf · cited by 198Filter.liminfFilter.bliminf · cited by 27Filter.bliminfFilter.bliminf_trueCITED BYCITES

Cites7

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Cited by1

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