Theorems · Theorem · general algebraic systems
DFinsupp.nonempty_neLocus_iff
∀ {α : Type u_1} {N : α → Type u_2} [inst : DecidableEq α] [inst_1 : (a : α) → DecidableEq (N a)]
[inst_2 : (a : α) → Zero (N a)] {f g : Π₀ (a : α), N a}, (f.neLocus g).Nonempty ↔ f ≠ g- Defined in
- Mathlib.Data.DFinsupp.NeLocus
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.Nonemptystatement · cited by 1,001
- DFinsuppstatement and proof · cited by 694
- Iff.notproof · cited by 489
- Finset.nonempty_iff_ne_emptyproof · cited by 34
- DFinsupp.neLocusstatement · cited by 26
- DFinsupp.neLocus_eq_emptyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- DFinsupp.toLex_monotoneproof · cited by 2