Theorems · Theorem · commutative algebra
Polynomial.C_content_dvd
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R] (p : Polynomial R), Polynomial.C p.content ∣ p- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingNormalizedGCDMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cstatement · cited by 1,598
- NormalizedGCDMonoidstatement and proof · cited by 159
- dvd_rflproof · cited by 80
- Polynomial.contentstatement · cited by 41
- Polynomial.dvd_content_iff_C_dvdproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.primPartproof · cited by 19
- Polynomial.eq_C_content_mul_primPartproof · cited by 14