Theorems · Definition · ring theory
SkewMonoidAlgebra.support
{k : Type u_1} → {G : Type u_2} → [inst : AddMonoid k] → SkewMonoidAlgebra k G → Finset GFor f : SkewMonoidAlgebra k G, f.support is the set of all a ∈ G such that
f.coeff a ≠ 0.
- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 45 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- AddMonoidstatement and proof · cited by 2,864
- Finsupp.supportproof · cited by 828
- SkewMonoidAlgebrastatement and proof · cited by 216
- SkewMonoidAlgebra.coeffproof · cited by 110
Cited by46
Results whose statement or proof uses this declaration.
- SkewPolynomial.supportproof · cited by 30
- SkewPolynomial.support_eq_skewMonoidAlgebra_supportstatement and proof · cited by 5
- SkewMonoidAlgebra.sum_ite_eq'statement · cited by 4
- SkewMonoidAlgebra.support_ofCoeffstatement · cited by 4
- SkewMonoidAlgebra.support_single_subsetstatement · cited by 4
- SkewMonoidAlgebra.sum_congrstatement and proof · cited by 3
- SkewMonoidAlgebra.coeff_single_mul_auxproof · cited by 2
- SkewPolynomial.support_addproof · cited by 2
- SkewMonoidAlgebra.support_coeffstatement · cited by 2
- SkewMonoidAlgebra.support_erasestatement · cited by 2
- SkewMonoidAlgebra.support_mulstatement and proof · cited by 2
- SkewMonoidAlgebra.support_singlestatement · cited by 2