Theorems · Theorem · field theory
Polynomial.leadingCoeff_C_mul_X_pow
∀ {R : Type u} [inst : Semiring R] (a : R) (n : ℕ), (Polynomial.C a * Polynomial.X ^ n).leadingCoeff = a- Defined in
- Mathlib.Algebra.Polynomial.Degree.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- Polynomial.leadingCoeffstatement and proof · cited by 498
- Polynomial.C_mul_X_pow_eq_monomialproof · cited by 53
- Polynomial.leadingCoeff_monomialproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.leadingCoeff_X_powproof · cited by 5
- Polynomial.leadingCoeff_C_mul_Xproof · cited by 2
- Polynomial.leadingCoeff_quadraticproof · cited by 1
- Polynomial.leadingCoeff_cubicproof · cited by 1