Theorems · Theorem · ring theory
SkewPolynomial.X_mul_monomial
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : MulSemiringAction (Multiplicative ℕ) R] (n : ℕ) (r : R),
SkewPolynomial.X * (SkewPolynomial.monomial n) r = (SkewPolynomial.monomial (n + 1)) (SkewPolynomial.φ r)- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMulSemiringAction
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Cites19
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- MulSemiringActionstatement and proof · cited by 423
- Multiplicative.ofAddproof · cited by 237
- SkewPolynomialstatement · cited by 124
- SkewPolynomial.monomialstatement and proof · cited by 49
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