Theorems · Theorem · combinatorics
Multiset.powersetCardAux_cons
∀ {α : Type u_1} (n : ℕ) (a : α) (l : List α),
Multiset.powersetCardAux (n + 1) (a :: l) =
Multiset.powersetCardAux (n + 1) l ++ List.map (Multiset.cons a) (Multiset.powersetCardAux n l)- Defined in
- Mathlib.Data.Multiset.Powerset
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement · cited by 2,627
- Multiset.consstatement and proof · cited by 313
- Multiset.ofListproof · cited by 290
- List.sublistsLenproof · cited by 19
- Multiset.powersetCardAuxstatement · cited by 8
- List.sublistsLen_succ_consproof · cited by 5
- Multiset.powersetCardAux_eq_map_coeproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.powersetCard_consproof · cited by 4
- Multiset.powersetCardAux_permproof · cited by 0