Mathlib Map

Theorems · Definition · order theory

DFinsupp.pi

{ι : Type u_1} →
  {α : ι → Type u_2} →
    [inst : (i : ι) → Zero (α i)] →
      [DecidableEq ι] → [(i : ι) → DecidableEq (α i)] → (Π₀ (i : ι), Finset (α i)) → Finset (Π₀ (i : ι), α i)

Given a finitely supported function f : Π₀ i, Finset (α i), one can define the finset f.pi of all finitely supported functions whose value at i is in f i for all i.

Defined in
Mathlib.Data.DFinsupp.Interval
Cited by
2 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ZeroDecidableEqDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DFinsupp.mem_pi · cited by 0DFinsupp.mem_piDFinsupp.card_pi · cited by 0DFinsupp.card_piDFunLike.coe · cited by 62936DFunLike.coeFinset · cited by 13712FinsetDFinsupp · cited by 694DFinsuppDFinsupp.support · cited by 158DFinsupp.supportFinset.zero · cited by 74Finset.zeroFinset.dfinsupp · cited by 4Finset.dfinsuppDFinsupp.piCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.