Theorems · Definition · general algebraic systems
Finsupp.neLocus
{α : Type u_1} → {N : Type u_3} → [DecidableEq α] → [DecidableEq N] → [inst : Zero N] → (α →₀ N) → (α →₀ N) → Finset αGiven two finitely supported functions f g : α →₀ N, Finsupp.neLocus f g is the Finset
where f and g differ. This generalizes (f - g).support to situations without subtraction.
- Defined in
- Mathlib.Data.Finsupp.NeLocus
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqDecidableEqZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Finset.filterproof · cited by 949
- Finsupp.supportproof · cited by 828
Cited by24
Results whose statement or proof uses this declaration.
- Finsupp.mem_neLocusstatement · cited by 4
- Finsupp.neLocus_commstatement · cited by 3
- Finsupp.neLocus.congr_simpstatement and proof · cited by 2
- Finsupp.neLocus_add_leftstatement · cited by 2
- Finsupp.neLocus_add_rightstatement · cited by 2
- Finsupp.neLocus_neg_negstatement · cited by 2
- Finsupp.neLocus_self_add_rightstatement and proof · cited by 2
- Finsupp.neLocus_zero_rightstatement · cited by 2
- Finsupp.neLocus_eq_emptystatement and proof · cited by 1
- Finsupp.neLocus_self_sub_rightstatement and proof · cited by 1
- Finsupp.neLocus_zero_leftstatement · cited by 1
- Finsupp.zipWith_neLocus_eq_leftstatement · cited by 1