Theorems · Theorem · commutative algebra
Polynomial.normalize_content
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R] {p : Polynomial R},
normalize p.content = p.content- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 61 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- NormalizedGCDMonoidstatement and proof · cited by 159
- normalizestatement · cited by 137
- Polynomial.contentstatement · cited by 41
- Finset.normalize_gcdproof · cited by 6
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.associated_content_mulproof · cited by 6
- Polynomial.isPrimitive_iff_content_eq_oneproof · cited by 4
- Polynomial.isPrimitive_primPartproof · cited by 4
- Polynomial.IsPrimitive.mulproof · cited by 3
- Polynomial.content_eq_gcd_range_of_ltproof · cited by 2
- Polynomial.content_mulproof · cited by 1
- Polynomial.content_monomialproof · cited by 0
- Polynomial.normUnit_contentproof · cited by 0