Theorems · Definition · general algebraic systems
Finsupp.splitSupport
{ι : Type u_4} → {M : Type u_5} → {αs : ι → Type u_12} → [inst : Zero M] → ((i : ι) × αs i →₀ M) → Finset ιGiven l, a finitely supported function from the sigma type Σ (i : ι), αs i to β,
split_support l is the finset of indices in ι that appear in the support of l.
- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 74 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Finset.imageproof · cited by 910
- Finsupp.supportproof · cited by 828
Cited by6
Results whose statement or proof uses this declaration.
- sigmaFinsuppEquivDFinsuppproof · cited by 8
- Finsupp.sigma_supportstatement · cited by 1
- Finsupp.mem_splitSupport_iff_nonzerostatement · cited by 1
- Finsupp.sigma_sumstatement and proof · cited by 0
- sigmaFinsuppEquivDFinsupp_supportstatement and proof · cited by 0
- Finsupp.splitCompproof · cited by 0