Theorems · Definition · ring theory
SkewMonoidAlgebra.lsingle
(R : Type u_3) →
{M : Type u_4} →
[inst : Semiring R] →
[inst_1 : AddCommMonoid M] → {α : Type u_6} → α → [inst_2 : Module R M] → M →ₗ[R] SkewMonoidAlgebra M αInterpret single a as a linear map.
- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 74 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
- AddMonoidHomproof · cited by 3,230
- SkewMonoidAlgebrastatement and proof · cited by 216
- ZeroHom.toFunproof · cited by 101
- AddMonoidHom.toZeroHomproof · cited by 61
- SkewMonoidAlgebra.singleAddHomproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- SkewPolynomial.monomialproof · cited by 49
- SkewMonoidAlgebra.lhom_ext'statement and proof · cited by 3
- SkewPolynomial.mul_defproof · cited by 1
- SkewMonoidAlgebra.lhom_ext'_iffstatement and proof · cited by 0
- SkewMonoidAlgebra.lsingle_applystatement · cited by 0