Nat.Prime.pow_inj

∀ {p q m n : ℕ}, Nat.Prime p → Nat.Prime q → p ^ (m + 1) = q ^ (n + 1) → p = q ∧ m = n

Two prime powers with positive exponents are equal only when the primes and the exponents are equal.

Defined in: Mathlib.Data.Nat.Prime.Int
Cited by: 1 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

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