Theorems · Theorem · combinatorics
Multiset.sections_add
∀ {α : Type u_1} (s t : Multiset (Multiset α)),
(s + t).Sections = s.Sections.bind fun m => Multiset.map (fun x => m + x) t.Sections- 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
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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.consproof · cited by 313
- Multiset.map_congrproof · cited by 232
- Multiset.map_mapproof · cited by 151
- Multiset.induction_onproof · cited by 109
- Multiset.bindstatement and proof · cited by 59
- Multiset.map_id'proof · cited by 35
- Multiset.bind_congrproof · cited by 15
- Multiset.zero_addproof · cited by 15
- Multiset.cons_addproof · cited by 10
- Multiset.Sectionsstatement and proof · cited by 7
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