Theorems · Theorem · general algebraic systems
Multiset.support_sum_eq
∀ {ι : Type u_1} {M : Type u_2} [inst : DecidableEq ι] [inst_1 : AddCommMonoid M] (s : Multiset (ι →₀ M)),
Multiset.Pairwise (Function.onFun Disjoint Finsupp.support) s → s.sum.support = (Multiset.map Finsupp.support s).sup- Defined in
- Mathlib.Data.Finsupp.BigOperators
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- Multisetstatement and proof · cited by 2,627
- Disjointstatement and proof · cited by 2,201
- Multiset.mapstatement and proof · cited by 876
- Finsupp.supportstatement and proof · cited by 828
- Function.onFunstatement and proof · cited by 570
- Multiset.sumstatement and proof · cited by 388
- Multiset.ofListproof · cited by 290
- Disjoint.symmproof · cited by 125
- Multiset.supstatement and proof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Finset.support_sum_eqproof · cited by 0