Theorems · Definition · ring theory
SkewMonoidAlgebra.coeff
{k : Type u_1} → {G : Type u_2} → [inst : Zero k] → SkewMonoidAlgebra k G → G →₀ kThe natural map from SkewMonoidAlgebra k G to G →₀ k.
- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 110 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement · cited by 5,255
- SkewMonoidAlgebrastatement and proof · cited by 216
Cited by118
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.sumproof · cited by 46
- SkewMonoidAlgebra.supportproof · cited by 45
- SkewPolynomial.coeffproof · cited by 37
- SkewMonoidAlgebra.eraseproof · cited by 12
- SkewMonoidAlgebra.updateproof · cited by 12
- SkewMonoidAlgebra.extstatement · cited by 10
- SkewMonoidAlgebra.coeffAddEquivproof · cited by 9
- SkewMonoidAlgebra.coeff_mulstatement and proof · cited by 9
- SkewMonoidAlgebra.coeff_sum'statement and proof · cited by 8
- SkewMonoidAlgebra.equivMapDomainproof · cited by 7
- SkewMonoidAlgebra.coeff_injectivestatement and proof · cited by 7
- SkewMonoidAlgebra.sum_singleproof · cited by 7