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Theorems · Theorem · combinatorics

Finset.truncatedInf_empty

∀ {α : Type u_1} [inst : SemilatticeInf α] [inst_1 : DecidableLE α] [inst_2 : BoundedOrder α] (a : α),
  ∅.truncatedInf a = ⊥
Defined in
Mathlib.Combinatorics.SetFamily.AhlswedeZhang
Cited by
0 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemilatticeInfDecidableLEBoundedOrder
Mathlib docsSourceLoogleLeanSearch

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Finset · cited by 13712FinsetBot.bot · cited by 4720Bot.botSemilatticeInf · cited by 634SemilatticeInfBoundedOrder · cited by 270BoundedOrderFinset.coe_empty · cited by 109Finset.coe_emptyupperClosure · cited by 84upperClosureFinset.truncatedInf · cited by 19Finset.truncatedInfFinset.truncatedInf_of_notMem · cited by 4Finset.truncatedInf_of_no…upperClosure_empty · cited by 2upperClosure_emptyFinset.truncatedInf_emptyCITED BYCITES

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