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Theorems · Theorem · order theory

ciInf_subsingleton

∀ {α : Type u_1} {ι : Sort u_4} [inst : ConditionallyCompletePartialOrderInf α] [Subsingleton ι] (i : ι) (s : ι → α),
  ⨅ i, s i = s i
Defined in
Mathlib.Order.ConditionallyCompletePartialOrder.Indexed
Cited by
1 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
Assumes
ConditionallyCompletePartialOrderInfSubsingleton
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Around this declaration

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

Filter.Subsingleton.atTop_eq · cited by 3Subsingleton.atTop_eqiInf · cited by 1690iInfConditionallyCompletePartialOrderInf · cited by 51ConditionallyCompletePart…ciInf_unique · cited by 9ciInf_uniqueciInf_subsingletonCITED BYCITES

Cites3

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Cited by1

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