Theorems · Theorem · commutative algebra

PowerSeries.normalized_count_X_eq_of_coe

∀ {k : Type u_2} [inst : Field k] {P : Polynomial k},
  P ≠ 0 →
    Multiset.count PowerSeries.X (UniqueFactorizationMonoid.normalizedFactors ↑P) =
      Multiset.count Polynomial.X (UniqueFactorizationMonoid.normalizedFactors P)

Defined in: Mathlib.RingTheory.PowerSeries.Inverse
Cited by: 1 results in Mathlib
Foundations: Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field

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Cites20

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
ENatproof · cited by 4,985
Polynomial.Xstatement and proof · cited by 1,639
Polynomial.coeffproof · cited by 1,045
PowerSeriesstatement and proof · cited by 797
Multiset.countstatement and proof · cited by 302
PowerSeries.Xstatement and proof · cited by 183
Nat.cast_leproof · cited by 159
emultiplicityproof · cited by 156
UniqueFactorizationMonoid.normalizedFactorsstatement and proof · cited by 151
normalizeproof · cited by 137

Cited by1

Results whose statement or proof uses this declaration.

PowerSeries.intValuation_eq_of_coeproof · cited by 2