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Theorems · Theorem · order theory

Multiset.sup_dedup

∀ {α : Type u_1} [inst : SemilatticeSup α] [inst_1 : OrderBot α] [inst_2 : DecidableEq α] (s : Multiset α),
  s.dedup.sup = s.sup
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
SemilatticeSupOrderBotDecidableEq
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Around this declaration

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

Multiset.sup_ndunion · cited by 0Multiset.sup_ndunionMultiset.sup_union · cited by 0Multiset.sup_unionMultiset.sup_ndinsert · cited by 0Multiset.sup_ndinsertBot.bot · cited by 4720Bot.botMultiset · cited by 2627MultisetOrderBot · cited by 1055OrderBotSemilatticeSup · cited by 785SemilatticeSupMultiset.dedup · cited by 59Multiset.dedupMultiset.sup · cited by 20Multiset.supMultiset.fold_dedup_idem · cited by 4Multiset.fold_dedup_idemMultiset.sup_dedupCITED BYCITES

Cites7

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Cited by3

Results whose statement or proof uses this declaration.