Theorems · Definition · ring theory
SkewPolynomial
(R : Type u_1) → [AddCommMonoid R] → Type (max u_1 0)
The skew polynomials over R is the type of univariate polynomials over R
endowed with a skewed convolution product.
- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 124 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 29 definitions · uses no axioms
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Multiplicativeproof · cited by 875
- SkewMonoidAlgebraproof · cited by 216
Cited by133
Results whose statement or proof uses this declaration.
- SkewPolynomial.monomialstatement · cited by 49
- SkewPolynomial.coeffstatement and proof · cited by 37
- SkewPolynomial.Cstatement · cited by 32
- SkewPolynomial.supportstatement and proof · cited by 30
- SkewPolynomial.Xstatement · cited by 27
- SkewPolynomial.sumstatement and proof · cited by 22
- SkewPolynomial.CRingHomstatement · cited by 10
- SkewPolynomial.updatestatement and proof · cited by 9
- SkewPolynomial.coeff_monomialstatement · cited by 8
- SkewPolynomial.erasestatement and proof · cited by 8
- SkewPolynomial.monomial_mul_monomialstatement · cited by 5
- SkewPolynomial.sum_monomial_indexstatement · cited by 5