Theorems · Theorem · commutative algebra
Polynomial.associated_content_C_mul
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R] (r : R) (p : Polynomial R),
Associated (Polynomial.C r * p).content (r * p.content)- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 4 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- MulZeroClass.zero_mulproof · cited by 1,625
- map_zeroproof · cited by 1,614
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.coeffproof · cited by 1,045
- Finset.extproof · cited by 565
- Associatedstatement and proof · cited by 296
- Polynomial.supportproof · cited by 237
- NormalizedGCDMonoidstatement and proof · cited by 159
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.associated_content_mulproof · cited by 6
- Polynomial.isPrimitive_primPartproof · cited by 4
- Polynomial.IsPrimitive.mul_map_mem_lifts_iffproof · cited by 2
- Polynomial.content_monomialproof · cited by 0