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Theorems · Theorem · field theory

Polynomial.leadingCoeff_pow

∀ {R : Type u} [inst : Semiring R] [NoZeroDivisors R] (p : Polynomial R) (n : ℕ),
  (p ^ n).leadingCoeff = p.leadingCoeff ^ n
Defined in
Mathlib.Algebra.Polynomial.Degree.Operations
Cited by
1 results in Mathlib
Foundations
Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringNoZeroDivisors
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Around this declaration

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

Polynomial.natDegree_pow · cited by 11Polynomial.natDegree_powSemiring · cited by 13802SemiringPolynomial · cited by 5681PolynomialNoZeroDivisors · cited by 545NoZeroDivisorsPolynomial.leadingCoeff · cited by 498Polynomial.leadingCoeffMonoidHom.map_pow · cited by 30MonoidHom.map_powPolynomial.leadingCoeffHom · cited by 6Polynomial.leadingCoeffHomPolynomial.leadingCoeff_powCITED BYCITES

Cites6

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Cited by1

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