Theorems · Definition · ring theory
SkewMonoidAlgebra.singleAddHom
{k : Type u_1} → {G : Type u_2} → [inst : AddCommMonoid k] → G → k →+ SkewMonoidAlgebra k Gsingle as an AddMonoidHom.
See lsingle for the stronger version as a linear map.
- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement · cited by 3,230
- SkewMonoidAlgebrastatement · cited by 216
- SkewMonoidAlgebra.singleproof · cited by 83
Cited by8
Results whose statement or proof uses this declaration.
- SkewPolynomial.Cproof · cited by 32
- SkewMonoidAlgebra.lsingleproof · cited by 4
- SkewMonoidAlgebra.DistribMulActionHom.singleproof · cited by 3
- SkewMonoidAlgebra.addHom_ext'statement and proof · cited by 3
- SkewMonoidAlgebra.singleAddHom_applystatement and proof · cited by 2
- SkewMonoidAlgebra.singleOneRingHomproof · cited by 2
- SkewMonoidAlgebra.DistribMulActionHom.single_toFunstatement · cited by 1
- SkewMonoidAlgebra.addHom_ext'_iffstatement and proof · cited by 0