Theorems · Definition · field theory
Polynomial.monomial
{R : Type u} → [inst : Semiring R] → ℕ → R →ₗ[R] Polynomial Rmonomial s a is the monomial a * X^s
- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 256 results in Mathlib
- Foundations
- Depth 96 from the axioms, rests on 1,792 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- AddMonoidAlgebra.singleproof · cited by 250
Cited by269
Results whose statement or proof uses this declaration.
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.scaleRootsproof · cited by 56
- Polynomial.C_mul_X_pow_eq_monomialstatement · cited by 53
- Polynomial.induction_on'statement and proof · cited by 50
- Polynomial.bernoulliproof · cited by 41
- Polynomial.coeff_monomialstatement · cited by 40
- Polynomial.derivative_mulproof · cited by 35
- Polynomial.derivative_Xproof · cited by 34
- Polynomial.coeff_Cproof · cited by 33
- Polynomial.monomial_zero_rightstatement and proof · cited by 25
- Polynomial.integralNormalizationproof · cited by 24
Showing the 200 most cited of 269.