Theorems · Definition · combinatorics
Multiset.cons
{α : Type u_1} → α → Multiset α → Multiset αcons a s is the multiset which contains s plus one more instance of a.
- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 313 results in Mathlib
- Foundations
- Depth 11 from the axioms, rests on 22 definitions · uses Quot.sound
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.
- Multisetstatement and proof · cited by 2,627
- Multiset.ofListproof · cited by 290
Cited by327
Results whose statement or proof uses this declaration.
- Finset.consproof · cited by 221
- Multiset.induction_onstatement and proof · cited by 109
- Multiset.map_consstatement · cited by 93
- Finset.cons_inductionproof · cited by 85
- Multiset.prod_consstatement · cited by 68
- Multiset.sum_consstatement · cited by 45
- Multiset.mem_cons_selfstatement · cited by 44
- Multiset.mem_cons_of_memstatement · cited by 35
- Multiset.inductionstatement and proof · cited by 31
- Multiset.mem_consstatement · cited by 29
- Sym.consproof · cited by 26
- Multiset.cons_erasestatement · cited by 25
Showing the 200 most cited of 327.