Theorems · Theorem · commutative algebra
IsAlmostIntegral.coeff
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [IsDomain R]
[FaithfulSMul R S] {p : Polynomial S}, IsAlmostIntegral (Polynomial R) p → ∀ (i : ℕ), IsAlmostIntegral R (p.coeff i)[Stacks Tag 00H0](https://stacks.math.columbia.edu/tag/00H0) ((1))
- Defined in
- Mathlib.RingTheory.Polynomial.IsIntegral
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites44
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- IsDomainstatement and proof · cited by 2,196
- MulZeroClass.mul_zeroproof · cited by 2,091
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- map_mulproof · cited by 1,137
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.coeffstatement and proof · cited by 1,045
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