Theorems · Definition · general algebraic systems
DFinsupp.toFun
{ι : Type u} → {β : ι → Type v} → [inst : (i : ι) → Zero (β i)] → DFinsupp β → (i : ι) → β iThe underlying function of a dependent function with finite support (aka DFinsupp).
- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFinsuppstatement and proof · cited by 694
Cited by22
Results whose statement or proof uses this declaration.
- DFinsupp.supportproof · cited by 158
- DFinsupp.eraseproof · cited by 29
- DFinsupp.mapRangeproof · cited by 29
- DFinsupp.filterproof · cited by 24
- DFinsupp.subtypeDomainproof · cited by 14
- MultilinearMap.dfinsuppFamilyproof · cited by 13
- DFinsupp.comapDomain'proof · cited by 9
- DFinsupp.updateproof · cited by 8
- DFinsupp.comapDomainproof · cited by 8
- DFinsupp.zipWithproof · cited by 7
- DFinsupp.sigmaCurryproof · cited by 6
- DFinsupp.sumZeroHomproof · cited by 6