Theorems · Theorem · commutative algebra
Polynomial.contentIdeal_C
∀ {R : Type u_1} [inst : Semiring R] (r : R), (Polynomial.C r).contentIdeal = Ideal.span {r}- Cited by
- 2 results in Mathlib
- Foundations
- Depth 102 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Idealstatement · cited by 4,748
- Polynomial.Cstatement · cited by 1,598
- Ideal.spanstatement and proof · cited by 948
- Polynomial.contentIdealstatement and proof · cited by 24
- Polynomial.monomial_zero_leftproof · cited by 3
- Polynomial.contentIdeal_monomialproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Submodule.IsPrincipal.contentIdeal_le_span_iff_dvdproof · cited by 1
- Polynomial.contentIdeal_oneproof · cited by 0