Theorems · Theorem · commutative algebra
List.toFinsupp_singleton
∀ {M : Type u_1} [inst : Zero M] (x : M) [inst_1 : DecidablePred fun x_1 => [x].getD x_1 0 ≠ 0],
[x].toFinsupp = fun₀ | 0 => x- Defined in
- Mathlib.Data.List.ToFinsupp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroDecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement · cited by 5,255
- zero_addproof · cited by 2,366
- Finsupp.singlestatement · cited by 943
- Finsupp.extproof · cited by 399
- Finsupp.single_eq_sameproof · cited by 171
- Finsupp.single_eq_of_neproof · cited by 61
- List.toFinsuppstatement · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- List.toFinsupp_concat_eq_toFinsupp_add_singleproof · cited by 1
- List.toFinsupp_cons_eq_single_add_embDomainproof · cited by 1