Mathlib Map

Theorems · Theorem · commutative algebra

Polynomial.content_mul

∀ {R : Type u_2} [inst : CommRing R] [inst_1 : StrongNormalizedGCDMonoid R] {p q : Polynomial R},
  (p * q).content = p.content * q.content
Defined in
Mathlib.RingTheory.Polynomial.Content
Cited by
1 results in Mathlib
Foundations
Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingStrongNormalizedGCDMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Polynomial.primPart_mul · cited by 0Polynomial.primPart_mulCommRing · cited by 17173CommRingPolynomial · cited by 5681PolynomialPolynomial.content · cited by 41Polynomial.contentStrongNormalizedGCDMonoid · cited by 13StrongNormalizedGCDMonoidPolynomial.normalize_content · cited by 8Polynomial.normalize_cont…Polynomial.associated_content_mul · cited by 6Polynomial.associated_con…Associated.eq_of_normalized · cited by 5Associated.eq_of_normaliz…normalize_mul · cited by 4normalize_mulPolynomial.content_mulCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.