Theorems · Theorem · field theory
Polynomial.natDegree_X_pow_le
∀ {R : Type u_1} [inst : Semiring R] (n : ℕ), (Polynomial.X ^ n).natDegree ≤ n- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement · cited by 5,681
- Nontrivialproof · cited by 2,416
- le_reflproof · cited by 2,061
- Polynomial.Xstatement · cited by 1,639
- Polynomial.natDegreestatement · cited by 1,105
- Polynomial.natDegree_of_subsingletonproof · cited by 21
- Polynomial.natDegree_X_powproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.isMonicOfDegree_X_powproof · cited by 3
- Polynomial.exists_iterate_derivative_eq_factorial_smulproof · cited by 1