Theorems · Theorem · combinatorics
Multiset.range_add_eq_union
∀ (a b : ℕ), Multiset.range (a + b) = Multiset.range a ∪ Multiset.map (fun x => a + x) (Multiset.range b)
- Defined in
- Mathlib.Data.Multiset.Range
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.rangestatement and proof · cited by 30
- Multiset.add_eq_union_iff_disjointproof · cited by 6
- Multiset.range_addproof · cited by 1
- Multiset.range_disjoint_map_addproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Finset.range_addproof · cited by 1