Theorems · Theorem · combinatorics
Multiset.count_replicate_self
∀ {α : Type u_1} [inst : DecidableEq α] (a : α) (n : ℕ), Multiset.count a (Multiset.replicate n a) = n- Defined in
- Mathlib.Data.Multiset.Replicate
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetproof · cited by 2,627
- Multiset.countstatement and proof · cited by 302
- Multiset.replicatestatement and proof · cited by 88
- Multiset.coe_countproof · cited by 23
- Multiset.coe_replicateproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Nat.uniformBell_mul_eqproof · cited by 2
- Sym.count_coe_fill_self_of_notMemproof · cited by 2
- Multiset.count_map_eq_countproof · cited by 1