Theorems · Theorem · commutative algebra
Polynomial.content_primPart
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R] (p : Polynomial R), p.primPart.content = 1- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- NormalizedGCDMonoidstatement and proof · cited by 159
- Polynomial.contentstatement · cited by 41
- Polynomial.primPartstatement · cited by 19
- Polynomial.IsPrimitive.content_eq_oneproof · cited by 5
- Polynomial.isPrimitive_primPartproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.associated_content_mulproof · cited by 6