Theorems · Theorem · field theory
Polynomial.isMonicOfDegree_X_pow
∀ (R : Type u_1) [inst : Semiring R] [Nontrivial R] (n : ℕ), (Polynomial.X ^ n).IsMonicOfDegree n
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringNontrivial
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
- Nontrivialstatement and proof · cited by 2,416
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.IsMonicOfDegreestatement · cited by 39
- Polynomial.coeff_X_pow_selfproof · cited by 7
- Polynomial.isMonicOfDegree_iffproof · cited by 5
- Polynomial.natDegree_X_pow_leproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.isMonicOfDegree_sub_add_twoproof · cited by 2
- Polynomial.isMonicOfDegree_add_add_twoproof · cited by 1
- Polynomial.isMonicOfDegree_monomial_oneproof · cited by 0