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Theorems · Theorem · order theory

Multiset.inf_dedup

∀ {α : Type u_1} [inst : SemilatticeInf α] [inst_1 : OrderTop α] [inst_2 : DecidableEq α] (s : Multiset α),
  s.dedup.inf = s.inf
Defined in
Mathlib.Data.Multiset.Lattice
Cited by
3 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemilatticeInfOrderTopDecidableEq
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Around this declaration

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

Multiset.inf_union · cited by 0Multiset.inf_unionMultiset.inf_ndinsert · cited by 0Multiset.inf_ndinsertMultiset.inf_ndunion · cited by 0Multiset.inf_ndunionTop.top · cited by 9680Top.topMultiset · cited by 2627MultisetSemilatticeInf · cited by 634SemilatticeInfOrderTop · cited by 493OrderTopMultiset.dedup · cited by 59Multiset.dedupMultiset.inf · cited by 19Multiset.infMultiset.fold_dedup_idem · cited by 4Multiset.fold_dedup_idemMultiset.inf_dedupCITED BYCITES

Cites7

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Cited by3

Results whose statement or proof uses this declaration.