Theorems · Definition · general algebraic systems
Finsupp.single
{α : Type u_1} → {M : Type u_5} → [inst : Zero M] → α → M → α →₀ Msingle a b is the finitely supported function with value b at a and zero otherwise.
- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 943 results in Mathlib
- Foundations
- Depth 59 from the axioms, rests on 831 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
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Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by990
Results whose statement or proof uses this declaration.
- MvPolynomial.Xproof · cited by 552
- PowerSeries.coeffproof · cited by 324
- MonoidAlgebra.singleproof · cited by 253
- AddMonoidAlgebra.singleproof · cited by 250
- Finsupp.single_eq_samestatement · cited by 171
- Finsupp.mapDomainproof · cited by 168
- Finsupp.sum_single_indexstatement and proof · cited by 130
- Finsupp.single_applystatement and proof · cited by 99
- MvPowerSeries.Xproof · cited by 98
- Finsupp.linearCombination_singlestatement · cited by 90
- SkewMonoidAlgebra.singleproof · cited by 83
- Module.Basis.repr_selfstatement and proof · cited by 82
Showing the 200 most cited of 990.