Theorems · Theorem · ring theory
SkewPolynomial.monomial_mul_C
∀ {R : Type u_1} {n : ℕ} [inst : Semiring R] {a b : R} [inst_1 : MulSemiringAction (Multiplicative ℕ) R],
(SkewPolynomial.monomial n) a * SkewPolynomial.C b = (SkewPolynomial.monomial n) (a * (⇑SkewPolynomial.φ)^[n] b)- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMulSemiringAction
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Cites15
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- Nat.iteratestatement and proof · cited by 740
- MulSemiringActionstatement and proof · cited by 423
- SkewPolynomialstatement · cited by 124
- SkewPolynomial.monomialstatement and proof · cited by 49
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