Theorems · Theorem · general algebraic systems
DFinsupp.neLocus_add_left
∀ {α : Type u_1} {N : α → Type u_2} [inst : DecidableEq α] [inst_1 : (a : α) → DecidableEq (N a)]
[inst_2 : (a : α) → AddLeftCancelMonoid (N a)] (f g h : Π₀ (a : α), N a), (f + g).neLocus (f + h) = g.neLocus h- Defined in
- Mathlib.Data.DFinsupp.NeLocus
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Finsetstatement · cited by 13,712
- DFinsuppstatement and proof · cited by 694
- AddLeftCancelMonoidstatement and proof · cited by 37
- add_right_injectiveproof · cited by 36
- DFinsupp.neLocusstatement · cited by 26
- DFinsupp.zipWith_neLocus_eq_leftproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- DFinsupp.neLocus_self_add_rightproof · cited by 2
- DFinsupp.neLocus_sub_leftproof · cited by 0