Theorems · Theorem · ring theory
SkewPolynomial.C_mul_monomial
∀ {R : Type u_1} {n : ℕ} [inst : Semiring R] {a b : R} [inst_1 : MulSemiringAction (Multiplicative ℕ) R],
SkewPolynomial.C a * (SkewPolynomial.monomial n) b = (SkewPolynomial.monomial n) (a * 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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Cites12
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
- zero_addproof · cited by 2,366
- Multiplicativestatement and proof · cited by 875
- MulSemiringActionstatement and proof · cited by 423
- SkewPolynomialstatement · cited by 124
- SkewPolynomial.monomialstatement and proof · cited by 49
- SkewPolynomial.Cstatement · cited by 32
- SkewPolynomial.monomial_mul_monomialproof · cited by 5
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