Theorems · Theorem · commutative algebra
Polynomial.content_mul_aux
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R] {p q : Polynomial R},
gcd (p * q).eraseLead.content p.leadingCoeff = gcd (p.eraseLead * q).content p.leadingCoeff- 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.
Cites24
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
- mul_assocproof · cited by 1,667
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- add_commproof · cited by 1,535
- map_mulproof · cited by 1,137
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.leadingCoeffstatement and proof · cited by 498
- sub_mulproof · cited by 170
- NormalizedGCDMonoidstatement and proof · cited by 159
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.associated_content_mulproof · cited by 6