Theorems · Theorem · general algebraic systems
List.support_sum_subset
∀ {ι : Type u_1} {M : Type u_2} [inst : DecidableEq ι] [inst_1 : AddZeroClass M] (l : List (ι →₀ M)),
l.sum.support ⊆ List.foldr (fun x1 x2 => x1.support ⊔ x2) ∅ l- Defined in
- Mathlib.Data.Finsupp.BigOperators
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Finsuppstatement and proof · cited by 5,255
- LE.le.transproof · cited by 3,151
- AddZeroClassstatement and proof · cited by 1,237
- Finsupp.supportstatement and proof · cited by 828
- Finset.Subset.rflproof · cited by 41
- Finsupp.support_addproof · cited by 17
- Finset.union_subset_unionproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- List.support_sum_eqproof · cited by 1
- Multiset.support_sum_subsetproof · cited by 1