Theorems · Theorem · field theory
Polynomial.smeval_X_pow_mul
∀ (R : Type u_1) [inst : Semiring R] (p : Polynomial R) {S : Type u_2} [inst_1 : NonAssocSemiring S]
[inst_2 : Module R S] [inst_3 : Pow S ℕ] (x : S) [NatPowAssoc S] [SMulCommClass R S S] (n : ℕ),
(Polynomial.X ^ n * p).smeval x = x ^ n * p.smeval x- Defined in
- Mathlib.Algebra.Polynomial.Smeval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- SMulCommClassstatement and proof · cited by 1,927
- Polynomial.Xstatement · cited by 1,639
- NonAssocSemiringstatement and proof · cited by 805
- Polynomial.smevalstatement · cited by 65
- NatPowAssocstatement and proof · cited by 53
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.smeval_monomial_mulproof · cited by 1