Theorems · Theorem · general algebraic systems
Finset.support_sum_eq
∀ {ι : Type u_1} {M : Type u_2} [inst : DecidableEq ι] [inst_1 : AddCommMonoid M] (s : Finset (ι →₀ M)),
(↑s).PairwiseDisjoint Finsupp.support → (s.sum id).support = s.sup Finsupp.support- Defined in
- Mathlib.Data.Finsupp.BigOperators
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddCommMonoid
Around this declaration
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Cites27
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
- SetLike.coestatement and proof · cited by 8,199
- Finsuppstatement and proof · cited by 5,255
- Finset.sumstatement and proof · cited by 5,195
- Multisetproof · cited by 2,627
- Disjointproof · cited by 2,201
- Multiset.mapproof · cited by 876
- Finsupp.supportstatement and proof · cited by 828
- Function.onFunproof · cited by 570
- Finset.supstatement and proof · cited by 530
- Finset.valproof · cited by 438
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