Theorems · Theorem · combinatorics
Multiset.coe_count
∀ {α : Type u_1} [inst : DecidableEq α] (a : α) (l : List α), Multiset.count a ↑l = List.count a l- Defined in
- Mathlib.Data.Multiset.Count
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multiset.countstatement · cited by 302
- Multiset.ofListstatement · cited by 290
Cited by23
Results whose statement or proof uses this declaration.
- Multiset.le_iff_countproof · cited by 14
- Multiset.count_subproof · cited by 12
- Finset.sum_multiset_map_countproof · cited by 10
- Multiset.nodup_iff_count_le_oneproof · cited by 8
- Finset.prod_multiset_map_countproof · cited by 7
- Multiset.count_replicateproof · cited by 6
- Multiset.extproof · cited by 6
- Multiset.count_filter_of_posproof · cited by 5
- Multiset.le_count_iff_replicate_leproof · cited by 4
- Multiset.count_replicate_selfproof · cited by 3
- Nat.factorization_eq_primeFactorsList_multisetproof · cited by 2
- Multiset.count_erase_of_neproof · cited by 1