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Theorems · Theorem · combinatorics

Multiset.Nodup.dedup

∀ {α : Type u_1} [inst : DecidableEq α] {s : Multiset α}, s.Nodup → s.dedup = s

Alias of the reverse direction of Multiset.dedup_eq_self.

Defined in
Mathlib.Data.Multiset.Dedup
Cited by
15 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Finset.map_eq_image · cited by 50Finset.map_eq_imageFinset.disjiUnion_eq_biUnion · cited by 11Finset.disjiUnion_eq_biUn…Multiset.toFinset_eq · cited by 6Multiset.toFinset_eqFinset.image_val_of_injOn · cited by 3Finset.image_val_of_injOnFinset.dedup_eq_self · cited by 2Finset.dedup_eq_selfConjRootClass.aroots_minpoly_eq_carrier_val · cited by 1ConjRootClass.aroots_minp…Multiset.map_add_left_Icc · cited by 1Multiset.map_add_left_IccMultiset.map_add_left_Ico · cited by 1Multiset.map_add_left_IcoMultiset.map_add_left_Ioc · cited by 1Multiset.map_add_left_IocMultiset.map_add_left_Ioo · cited by 1Multiset.map_add_left_IooNat.multiset_Ico_map_mod · cited by 1Nat.multiset_Ico_map_modFinset.pi_insert · cited by 1Finset.pi_insertMultiset.dedup_singleton · cited by 1Multiset.dedup_singletonNat.divisors_filter_squarefree · cited by 1Nat.divisors_filter_squar…Multiset.toFinset_range · cited by 0Multiset.toFinset_rangeMultiset · cited by 2627MultisetMultiset.Nodup · cited by 148Multiset.NodupMultiset.dedup · cited by 59Multiset.dedupMultiset.dedup_eq_self · cited by 9Multiset.dedup_eq_selfNodup.dedupCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by15

Results whose statement or proof uses this declaration.