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Theorems · Theorem · number theory

isPrimePow_iff_pow_succ

∀ {R : Type u_1} [inst : CommMonoidWithZero R] (n : R), IsPrimePow n ↔ ∃ p k, Prime p ∧ p ^ (k + 1) = n

An equivalent definition for prime powers: n is a prime power iff there is a prime p and a natural k such that n can be written as p^(k+1).

Defined in
Mathlib.Algebra.IsPrimePow
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Foundations
Depth 17 from the axioms · uses propext
Assumes
CommMonoidWithZero

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