Theorems · Theorem · commutative algebra
Polynomial.coeff_mem_contentIdeal
∀ {R : Type u_1} [inst : Semiring R] (p : Polynomial R) (n : ℕ), p.coeff n ∈ p.contentIdeal- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 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.
Cites7
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
- Polynomialstatement and proof · cited by 5,681
- Idealstatement · cited by 4,748
- Polynomial.coeffstatement and proof · cited by 1,045
- Ideal.subset_spanproof · cited by 86
- Polynomial.contentIdealstatement and proof · cited by 24
- Polynomial.coeff_mem_coeffsproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.IsPrincipal.contentIdeal_generator_dvd_coeffproof · cited by 2