Theorems · Theorem · ring theory
SkewPolynomial.C_mul_X_eq_monomial
∀ {R : Type u_1} [inst : Semiring R] {a : R} [inst_1 : MulSemiringAction (Multiplicative ℕ) R],
SkewPolynomial.C a * SkewPolynomial.X = (SkewPolynomial.monomial 1) a- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMulSemiringAction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- AddMonoidHomstatement · cited by 3,230
- pow_oneproof · cited by 894
- Multiplicativestatement and proof · cited by 875
- MulSemiringActionstatement and proof · cited by 423
- SkewPolynomialstatement and proof · cited by 124
- SkewPolynomial.monomialstatement · cited by 49
- SkewPolynomial.Cstatement and proof · cited by 32
- SkewPolynomial.Xstatement and proof · cited by 27
Cited by2
Results whose statement or proof uses this declaration.
- SkewPolynomial.support_C_mul_Xproof · cited by 0
- SkewPolynomial.support_C_mul_X_subsetproof · cited by 0