Theorems · Definition · general algebraic systems
DFinsupp.neLocus
{α : Type u_1} →
{N : α → Type u_2} →
[DecidableEq α] →
[(a : α) → DecidableEq (N a)] → [inst : (a : α) → Zero (N a)] → (Π₀ (a : α), N a) → (Π₀ (a : α), N a) → 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.DFinsupp.NeLocus
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 76 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
- Finset.filterproof · cited by 949
- DFinsuppstatement and proof · cited by 694
- DFinsupp.supportproof · cited by 158
Cited by26
Results whose statement or proof uses this declaration.
- DFinsupp.mem_neLocusstatement · cited by 6
- DFinsupp.lex_lt_of_lt_of_preorderproof · cited by 3
- DFinsupp.neLocus_commstatement · cited by 3
- DFinsupp.neLocus_zero_rightstatement · cited by 2
- DFinsupp.toLex_monotoneproof · cited by 2
- DFinsupp.neLocus.congr_simpstatement and proof · cited by 2
- DFinsupp.neLocus_add_leftstatement · cited by 2
- DFinsupp.neLocus_add_rightstatement · cited by 2
- DFinsupp.neLocus_neg_negstatement · cited by 2
- DFinsupp.neLocus_self_add_rightstatement and proof · cited by 2
- DFinsupp.neLocus_self_sub_rightstatement and proof · cited by 1
- DFinsupp.neLocus_zero_leftstatement · cited by 1