Theorems · Theorem · commutative algebra
Polynomial.monic_integralNormalization
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R}, p ≠ 0 → p.integralNormalization.Monic- 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.
Cites12
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
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.Monicstatement · cited by 461
- Polynomial.supportproof · cited by 237
- WithBot.coe_le_coeproof · cited by 76
- Finset.sup_leproof · cited by 44
- Polynomial.integralNormalizationstatement and proof · cited by 24
- Polynomial.le_natDegree_of_mem_suppproof · cited by 16
- Polynomial.support_integralNormalization_subsetproof · cited by 3
- Polynomial.integralNormalization_coeff_natDegreeproof · cited by 2
- Polynomial.monic_of_degree_leproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- IsAlgebraic.exists_integral_multipleproof · cited by 8
- RingHom.isIntegralElem_leadingCoeff_mulproof · cited by 2