Theorems · Theorem · commutative algebra
Polynomial.contentIdeal_monomial
∀ {R : Type u_1} [inst : Semiring R] (n : ℕ) (r : R), ((Polynomial.monomial n) r).contentIdeal = Ideal.span {r}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 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.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- SetLike.coeproof · cited by 8,199
- Polynomialstatement · cited by 5,681
- Idealstatement · cited by 4,748
- Bot.botproof · cited by 4,720
- Ideal.spanstatement and proof · cited by 948
- Polynomial.monomialstatement and proof · cited by 256
- Finset.coe_singletonproof · cited by 145
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.contentIdeal_Cproof · cited by 2