Theorems · Theorem · combinatorics
Multiset.nodup_iff_ne_cons_cons
∀ {α : Type u_1} {s : Multiset α}, s.Nodup ↔ ∀ (a : α) (t : Multiset α), s ≠ a ::ₘ a ::ₘ t- Defined in
- Mathlib.Data.Multiset.Replicate
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Multiset.consstatement and proof · cited by 313
- Multiset.Nodupstatement · cited by 148
- Multiset.zero_addproof · cited by 15
- Multiset.cons_addproof · cited by 10
- Multiset.zero_leproof · cited by 8
- Multiset.cons_le_consproof · cited by 6
- Multiset.le_iff_exists_addproof · cited by 4
- Multiset.nodup_iff_leproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.nodup_of_separable_prodproof · cited by 1