irrational_nrt_of_notint_nrt

∀ {x : ℝ} (n : ℕ) (m : ℤ), x ^ n = ↑m → (¬∃ y, x = ↑y) → 0 < n → Irrational x

If x^n, n > 0, is integer and is not the n-th power of an integer, then x is irrational.

Defined in: Mathlib.NumberTheory.Real.Irrational
Cited by: 2 results in Mathlib
Foundations: Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

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