Theorems · Theorem · field theory
Polynomial.factor_dvd_of_not_isUnit
∀ {K : Type v} [inst : Field K] {f : Polynomial K}, ¬IsUnit f → f.factor ∣ f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 119 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
- IsUnitstatement and proof · cited by 1,602
- dvd_zeroproof · cited by 63
- Polynomial.factorstatement and proof · cited by 13
- WfDvdMonoid.exists_irreducible_factorproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.factor_dvd_of_degree_ne_zeroproof · cited by 1
- Polynomial.isCoprime_iff_aeval_ne_zeroproof · cited by 0