Theorems · Definition · combinatorics
Finsupp.pi
{ι : Type u_1} → {α : Type u_2} → [inst : Zero α] → (ι →₀ Finset α) → Finset (ι →₀ α)Given a finitely supported function f : ι →₀ Finset α, 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.Finset.Finsupp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 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.
Cites6
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 and proof · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportproof · cited by 828
- Finset.zerostatement · cited by 74
- Finset.finsuppproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Finsupp.mem_pistatement · cited by 0
- Finsupp.card_pistatement · cited by 0