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Theorems · Theorem · order theory

Filter.blimsup_true

∀ {α : Type u_1} {β : Type u_2} [inst : ConditionallyCompleteLattice α] (f : Filter β) (u : β → α),
  (Filter.blimsup u f fun x => True) = Filter.limsup u f
Defined in
Mathlib.Order.LiminfLimsup
Cited by
2 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.blimsup_sup_not · cited by 3Filter.blimsup_sup_notFilter.cofinite.limsup_set_eq · cited by 1cofinite.limsup_set_eqFilter · cited by 8121FilterSet.ofPred · cited by 6101Set.ofPredFilter.Eventually · cited by 3134Filter.EventuallyInfSet.sInf · cited by 935InfSet.sInfConditionallyCompleteLattice · cited by 364ConditionallyCompleteLatt…Filter.limsup · cited by 226Filter.limsupFilter.blimsup · cited by 40Filter.blimsupFilter.blimsup_trueCITED BYCITES

Cites7

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Cited by2

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