Theorems · Theorem · combinatorics
Multiset.card_join
∀ {α : Type u_1} (S : Multiset (Multiset α)), S.join.card = (Multiset.map Multiset.card S).sum- Defined in
- Mathlib.Data.Multiset.Bind
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.mapstatement and proof · cited by 876
- Multiset.sumstatement and proof · cited by 388
- Multiset.cardstatement and proof · cited by 375
- Multiset.induction_onproof · cited by 109
- Multiset.map_consproof · cited by 93
- Multiset.sum_consproof · cited by 45
- Multiset.joinstatement and proof · cited by 21
- Multiset.join_consproof · cited by 9
- Multiset.card_addproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.card_bindproof · cited by 6