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Theorems · Theorem · commutative algebra

FiniteMultiplicity.pow

∀ {α : Type u_1} [inst : CommMonoidWithZero α] [IsCancelMulZero α] {p a : α},
  Prime p → FiniteMultiplicity p a → ∀ {k : ℕ}, FiniteMultiplicity p (a ^ k)
Defined in
Mathlib.RingTheory.Multiplicity
Cited by
1 results in Mathlib
Foundations
Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidWithZeroIsCancelMulZero
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Around this declaration

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FiniteMultiplicity.multiplicity_pow · cited by 1FiniteMultiplicity.multip…CommMonoidWithZero · cited by 913CommMonoidWithZeroPrime · cited by 277PrimeIsCancelMulZero · cited by 177IsCancelMulZeroFiniteMultiplicity · cited by 73FiniteMultiplicityFiniteMultiplicity.powCITED BYCITES

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Cited by1

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