Theorems · Theorem · field theory
Polynomial.ne_zero_of_coe_le_degree
∀ {R : Type u} {n : ℕ} [inst : Semiring R] {p : Polynomial R}, ↑n ≤ p.degree → p ≠ 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 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.
Cites7
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 and proof · cited by 5,681
- LE.le.transproof · cited by 3,151
- WithBotstatement · cited by 1,498
- Polynomial.degreestatement and proof · cited by 643
- WithBot.coe_le_coeproof · cited by 76
- Polynomial.zero_le_degree_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.le_natDegree_of_coe_le_degreeproof · cited by 0