Theorems · Definition · general algebraic systems
DFinsupp.support
{ι : Type u} →
{β : ι → Type v} →
[DecidableEq ι] →
[inst : (i : ι) → Zero (β i)] → [(i : ι) → (x : β i) → Decidable (x ≠ 0)] → (Π₀ (i : ι), β i) → Finset ιSet {i | f x ≠ 0} as a Finset.
- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 158 results in Mathlib
- Foundations
- Depth 75 from the axioms, rests on 1,380 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqZeroDecidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- Multisetproof · cited by 2,627
- Finset.filterproof · cited by 949
- DFinsuppstatement and proof · cited by 694
- Multiset.toFinsetproof · cited by 230
- DFinsupp.toFunproof · cited by 5
- Trunc.liftproof · cited by 5
- DFinsupp.support'proof · cited by 5
Cited by166
Results whose statement or proof uses this declaration.
- DFinsupp.sumproof · cited by 64
- DFinsupp.prodproof · cited by 30
- DFinsupp.neLocusproof · cited by 26
- DFinsupp.mem_support_iffstatement · cited by 13
- DFinsupp.toFinsuppproof · cited by 13
- DFinsupp.notMem_support_iffstatement · cited by 10
- DirectSum.sum_support_decomposestatement and proof · cited by 9
- sigmaFinsuppEquivDFinsuppproof · cited by 8
- map_dfinsuppSumproof · cited by 7
- DFinsupp.card_Iccstatement and proof · cited by 6
- DFinsupp.mem_support_toFunstatement · cited by 6
- DirectSum.coe_mul_apply_eq_dfinsuppSumproof · cited by 4