Theorems · Theorem · field theory
Polynomial.factor_dvd_of_natDegree_ne_zero
∀ {K : Type v} [inst : Field K] {f : Polynomial K}, f.natDegree ≠ 0 → f.factor ∣ f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.natDegree_eq_of_degree_eq_someproof · cited by 42
- Polynomial.factorstatement · cited by 13
- Polynomial.factor_dvd_of_degree_ne_zeroproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.X_sub_C_mul_removeFactorproof · cited by 2