Theorems · Theorem · commutative algebra
Polynomial.IsPrimitive.primPart_eq
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R] {p : Polynomial R}, p.IsPrimitive → p.primPart = p- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- one_mulproof · cited by 2,841
- Polynomial.Cproof · cited by 1,598
- NormalizedGCDMonoidstatement and proof · cited by 159
- Polynomial.C_1proof · cited by 57
- Polynomial.IsPrimitivestatement and proof · cited by 33
- Polynomial.primPartstatement and proof · cited by 19
- Polynomial.eq_C_content_mul_primPartproof · cited by 14
- Polynomial.IsPrimitive.content_eq_oneproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.IsPrimitive.dvd_primPart_iff_dvdproof · cited by 2