Theorems · Theorem · commutative algebra
Polynomial.content_zero
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R], Polynomial.content 0 = 0- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 103 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.
Cites7
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
- Polynomial.contentstatement and proof · cited by 41
- Polynomial.C_0proof · cited by 40
- normalize_zeroproof · cited by 16
- Polynomial.content_Cproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.eq_C_content_mul_primPartproof · cited by 14
- Polynomial.associated_content_mulproof · cited by 6
- Polynomial.associated_content_C_mulproof · cited by 4
- Polynomial.content_eq_gcd_leadingCoeff_content_eraseLeadproof · cited by 1
- Polynomial.content_C_mulproof · cited by 0