Theorems · Theorem · combinatorics
Multiset.join_cons
∀ {α : Type u_1} (s : Multiset α) (S : Multiset (Multiset α)), (s ::ₘ S).join = s + S.join- Defined in
- Mathlib.Data.Multiset.Bind
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 313
- Multiset.sum_consproof · cited by 45
- Multiset.joinstatement · cited by 21
Cited by9
Results whose statement or proof uses this declaration.
- Multiset.cons_bindproof · cited by 13
- Multiset.filter_joinproof · cited by 1
- Multiset.rel_joinproof · cited by 1
- Multiset.sum_joinproof · cited by 1
- Multiset.map_joinproof · cited by 1
- Multiset.filterMap_joinproof · cited by 1
- Multiset.prod_joinproof · cited by 1
- Multiset.card_joinproof · cited by 1
- Multiset.mem_joinproof · cited by 0