Theorems · Theorem · combinatorics
Multiset.dedup_card_eq_card_iff_nodup
∀ {α : Type u_1} [inst : DecidableEq α] {m : Multiset α}, m.dedup.card = m.card ↔ m.Nodup- Defined in
- Mathlib.Data.Finset.Card
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- Eq.geproof · cited by 375
- Multiset.cardstatement and proof · cited by 375
- Multiset.Nodupstatement · cited by 148
- Multiset.dedupstatement and proof · cited by 59
- Multiset.eq_of_le_of_card_leproof · cited by 11
- Multiset.dedup_eq_selfproof · cited by 9
- Multiset.dedup_leproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.toFinset_card_eq_card_iff_nodupproof · cited by 0