Theorems · Theorem · commutative algebra
Polynomial.primPart_mul
∀ {R : Type u_2} [inst : CommRing R] [inst_1 : StrongNormalizedGCDMonoid R] {p q : Polynomial R},
p * q ≠ 0 → (p * q).primPart = p.primPart * q.primPart- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Polynomial.Cproof · cited by 1,598
- map_mulproof · cited by 1,137
- mul_left_cancel₀proof · cited by 47
- Polynomial.contentproof · cited by 41
- Polynomial.primPartstatement and proof · cited by 19
- Polynomial.C_eq_zeroproof · cited by 16
- Polynomial.eq_C_content_mul_primPartproof · cited by 14
- StrongNormalizedGCDMonoidstatement and proof · cited by 13
- Polynomial.content_eq_zero_iffproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.