Theorems · Theorem · commutative algebra
Polynomial.content_C
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R] {r : R}, (Polynomial.C r).content = normalize r- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 102 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.
Cites16
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 · cited by 5,681
- map_zeroproof · cited by 1,614
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.coeffproof · cited by 1,045
- Polynomial.supportproof · cited by 237
- NormalizedGCDMonoidstatement and proof · cited by 159
- normalizestatement and proof · cited by 137
- Polynomial.coeff_C_zeroproof · cited by 58
- Finset.gcdproof · cited by 49
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.content_zeroproof · cited by 5
- Polynomial.IsPrimitive.irreducible_iff_irreducible_map_fraction_mapproof · cited by 4
- Polynomial.content_oneproof · cited by 2
- Polynomial.isUnit_primPart_Cproof · cited by 1
- Polynomial.exists_primitive_lcm_of_isPrimitiveproof · cited by 0