Theorems · Theorem · general algebraic systems
Finsupp.support_onFinset_subset
∀ {α : Type u_1} {M : Type u_4} [inst : Zero M] {s : Finset α} {f : α → M} {hf : ∀ (a : α), f a ≠ 0 → a ∈ s},
(Finsupp.onFinset s f hf).support ⊆ s- Defined in
- Mathlib.Data.Finsupp.Defs
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Finsupp.supportstatement · cited by 828
- Finsupp.onFinsetstatement · cited by 20
Cited by9
Results whose statement or proof uses this declaration.
- Finsupp.support_mapRangeproof · cited by 6
- Finsupp.onFinset_sumproof · cited by 3
- Finsupp.support_zipWithproof · cited by 2
- Finsupp.support_sym2Mul_subsetproof · cited by 1
- Convexity.IsConvexSet.imageproof · cited by 1
- Finsupp.sum_onFinsetproof · cited by 1
- Polynomial.support_derivativeFinsupp_subset_rangeproof · cited by 0
- Finsupp.onFinset_prodproof · cited by 0
- Finsupp.prod_onFinsetproof · cited by 0