Theorems · Theorem · commutative algebra
Polynomial.contentIdeal_def
∀ {R : Type u_1} [inst : Semiring R] (p : Polynomial R), p.contentIdeal = Ideal.span ↑p.coeffs- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Polynomialstatement and proof · cited by 5,681
- Idealstatement · cited by 4,748
- Ideal.spanstatement · cited by 948
- Polynomial.coeffsstatement · cited by 41
- Polynomial.contentIdealstatement · cited by 24
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.contentIdeal_mul_le_mul_contentIdealproof · cited by 2
- Polynomial.contentIdeal_le_span_contentproof · cited by 1