Theorems · Theorem · number theory
irrational_sqrt_intCast_iff
∀ {z : ℤ}, Irrational √↑z ↔ ¬IsSquare z ∧ 0 ≤ z- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- Real.sqrtstatement and proof · cited by 545
- Irrationalstatement and proof · cited by 139
- IsSquarestatement and proof · cited by 132
- Rat.cast_intCastproof · cited by 74
- Int.cast_nonneg_iffproof · cited by 4
- Rat.isSquare_intCast_iffproof · cited by 2
- irrational_sqrt_ratCast_iffproof · cited by 1
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