Theorems · Inductive type · general algebraic systems
DFinsupp
{ι : Type u} → (β : ι → Type v) → [(i : ι) → Zero (β i)] → Type (max u v)A dependent function Π i, β i with finite support, with notation Π₀ i, β i.
Note that DFinsupp.support is the preferred API for accessing the support of the function,
DFinsupp.support' is an implementation detail that aids computability; see the implementation
notes in this file for more information.
- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 694 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by782
Results whose statement or proof uses this declaration.
- DirectSumproof · cited by 446
- DFinsupp.supportstatement and proof · cited by 158
- DFinsupp.singlestatement · cited by 113
- DFinsupp.extstatement and proof · cited by 78
- DFinsupp.sumstatement and proof · cited by 64
- DFinsupp.sumAddHomstatement and proof · cited by 38
- DFinsupp.single_applystatement · cited by 35
- DFinsupp.prodstatement and proof · cited by 30
- DFinsupp.erasestatement and proof · cited by 29
- DFinsupp.mapRangestatement and proof · cited by 29
- DFinsupp.mkstatement · cited by 28
- DFinsupp.neLocusstatement and proof · cited by 26
Showing the 200 most cited of 782.