Theorems · Definition · linear algebra
Finsupp.lsingle
{α : Type u_1} →
{M : Type u_2} →
{R : Type u_5} → [inst : Semiring R] → [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → α → M →ₗ[R] α →₀ MInterpret Finsupp.single a as a linear map.
- Defined in
- Mathlib.LinearAlgebra.Finsupp.Defs
- Cited by
- 75 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- AddMonoidHomproof · cited by 3,230
- ZeroHom.toFunproof · cited by 101
- AddMonoidHom.toZeroHomproof · cited by 61
- Finsupp.singleAddHomproof · cited by 14
Cited by87
Results whose statement or proof uses this declaration.
- Finsupp.lhom_ext'statement and proof · cited by 59
- Finsupp.lsumproof · cited by 40
- groupHomology.d₂₁proof · cited by 27
- MonoidAlgebra.lsingleproof · cited by 25
- groupHomology.inhomogeneousChains.dproof · cited by 19
- groupHomology.d₃₂proof · cited by 16
- Representation.finsuppproof · cited by 14
- AddMonoidAlgebra.lsingleproof · cited by 14
- PolynomialModule.lsingleproof · cited by 12
- groupHomology.inhomogeneousChains.extstatement and proof · cited by 8
- groupHomology.comp_d₃₂_eqproof · cited by 6
- Finsupp.lsum_comp_lsinglestatement · cited by 5