Theorems · Theorem · commutative algebra
Polynomial.contentIdeal_le_span_content
∀ {R : Type u_3} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R] {p : Polynomial R},
p.contentIdeal ≤ Ideal.span {p.content}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 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.
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- SetLike.coeproof · cited by 8,199
- Polynomialstatement and proof · cited by 5,681
- Idealstatement and proof · cited by 4,748
- Polynomial.coeffproof · cited by 1,045
- Ideal.spanstatement and proof · cited by 948
- SetLike.mem_coeproof · cited by 302
- Polynomial.supportproof · cited by 237
- NormalizedGCDMonoidstatement and proof · cited by 159
- Finset.mem_coeproof · cited by 91
- Ideal.span_leproof · cited by 70
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.IsPrincipal.contentIdeal_eq_span_content_of_isPrincipalproof · cited by 0