Theorems · Theorem · commutative algebra
Polynomial.int_monic_iff
∀ {K : Type u_1} [inst : Field K] (R : Subring K) (P : Polynomial K) (hP : ∀ (n : ℕ), P.coeff n ∈ R),
(Polynomial.int R P hP).Monic ↔ P.Monic- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffstatement and proof · cited by 1,045
- Subringstatement and proof · cited by 602
- Polynomial.leadingCoeffproof · cited by 498
- Polynomial.Monicstatement and proof · cited by 461
- OneMemClass.coe_eq_oneproof · cited by 6
- Polynomial.intstatement and proof · cited by 5
- Polynomial.int_leadingCoeff_eqproof · cited by 1
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