Theorems · Theorem · commutative algebra
Polynomial.natDegree_primPart
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R] (p : Polynomial R),
p.primPart.natDegree = p.natDegree- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 110 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.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Nontrivialproof · cited by 2,416
- zero_addproof · cited by 2,366
- Polynomial.Cproof · cited by 1,598
- Polynomial.natDegreestatement and proof · cited by 1,105
- NormalizedGCDMonoidstatement and proof · cited by 159
- Polynomial.natDegree_Cproof · cited by 59
- Polynomial.natDegree_oneproof · cited by 43
- Polynomial.contentproof · cited by 41
- Polynomial.natDegree_mulproof · cited by 23
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.associated_content_mulproof · cited by 6
- Polynomial.exists_primitive_lcm_of_isPrimitiveproof · cited by 0