Theorems · Theorem · combinatorics
Multiset.card_sections
∀ {α : Type u_1} {s : Multiset (Multiset α)}, s.Sections.card = (Multiset.map Multiset.card s).prod- Defined in
- Mathlib.Data.Multiset.Sections
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.prodstatement and proof · cited by 528
- Multiset.sumproof · cited by 388
- Multiset.cardstatement and proof · cited by 375
- Multiset.consproof · cited by 313
- Multiset.map_congrproof · cited by 232
- Multiset.induction_onproof · cited by 109
- Multiset.map_consproof · cited by 93
- Multiset.prod_consproof · cited by 68
- Multiset.card_mapproof · cited by 57
- Multiset.map_const'proof · cited by 39
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.