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Theorems · Theorem · commutative algebra

Polynomial.IsDistinguishedAt.mul

∀ {R : Type u_1} [inst : CommRing R] {f f' : Polynomial R} {I : Ideal R},
  f.IsDistinguishedAt I → f'.IsDistinguishedAt I → (f * f').IsDistinguishedAt I
Defined in
Mathlib.RingTheory.Polynomial.Eisenstein.Distinguished
Cited by
1 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PowerSeries.IsWeierstrassFactorizationAt.mul · cited by 2IsWeierstrassFactorizatio…CommRing · cited by 17173CommRingPolynomial · cited by 5681PolynomialIdeal · cited by 4748IdealPolynomial.IsDistinguishedAt · cited by 15Polynomial.IsDistinguishe…Polynomial.Monic.mul · cited by 9Monic.mulPolynomial.IsDistinguishedAt.monic · cited by 6IsDistinguishedAt.monicPolynomial.IsDistinguishedAt.toIsWeaklyEisensteinAt · cited by 2IsDistinguishedAt.toIsWea…Polynomial.IsWeaklyEisensteinAt.mul · cited by 1IsWeaklyEisensteinAt.mulIsDistinguishedAt.mulCITED BYCITES

Cites8

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Cited by1

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