Theorems · Theorem · number theory
irrational_div_natCast_iff
∀ {n : ℕ} {x : ℝ}, Irrational (x / ↑n) ↔ n ≠ 0 ∧ Irrational x- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Irrationalstatement and proof · cited by 139
- Nat.cast_ne_zeroproof · cited by 113
- Rat.cast_natCastproof · cited by 67
- irrational_div_ratCast_iffproof · cited by 2
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