Theorems · Theorem · ring theory
Finsupp.support_finsetSum
∀ {α : Type u_1} {β : Type u_7} {M : Type u_8} [inst : DecidableEq β] [inst_1 : AddCommMonoid M] {s : Finset α}
{f : α → β →₀ M}, (s.sum f).support ⊆ s.biUnion fun x => (f x).support- Cited by
- 3 results in Mathlib
- Foundations
- Depth 76 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.
Cites17
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
- Finset.sumstatement and proof · cited by 5,195
- LE.le.transproof · cited by 3,151
- le_reflproof · cited by 2,061
- Finsupp.supportstatement and proof · cited by 828
- Finset.supproof · cited by 530
- Finset.consproof · cited by 221
- Finset.biUnionstatement · cited by 217
- Finset.sum_consproof · cited by 84
- Finset.cons_induction_onproof · cited by 37
Cited by3
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.supDegree_sum_leproof · cited by 3
- MvPolynomial.support_sumproof · cited by 1
- Finsupp.support_finset_sumproof · cited by 0