Theorems · Theorem · general algebraic systems
Finsupp.mem_splitSupport_iff_nonzero
∀ {ι : Type u_4} {M : Type u_5} {αs : ι → Type u_12} [inst : Zero M] (l : (i : ι) × αs i →₀ M) (i : ι),
i ∈ l.splitSupport ↔ l.split i ≠ 0- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 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.
Cites11
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
- Finset.Nonemptyproof · cited by 1,001
- Finsupp.supportproof · cited by 828
- Finset.preimageproof · cited by 108
- Finset.mem_imageproof · cited by 105
- Finset.nonempty_iff_ne_emptyproof · cited by 34
- Finsupp.support_eq_emptyproof · cited by 10
- Finsupp.splitstatement and proof · cited by 7
- Finsupp.splitSupportstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- sigmaFinsuppEquivDFinsupp_supportproof · cited by 0