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Theorems · Theorem · number theory

Nat.perm_primeFactorsList_mul_of_coprime

∀ {a b : ℕ}, a.Coprime b → (a * b).primeFactorsList.Perm (a.primeFactorsList ++ b.primeFactorsList)

For coprime a and b, the prime factors of a * b are the union of those of a and b

Defined in
Mathlib.Data.Nat.Factors
Cited by
2 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

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