Theorems · Theorem · real analysis
Real.neg_sqrt_le_of_sq_le
∀ {x y : ℝ}, x ^ 2 ≤ y → -√y ≤ x- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 133 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
- LE.le.transproof · cited by 3,151
- Real.sqrtstatement · cited by 545
- sq_nonnegproof · cited by 106
- Real.sq_leproof · cited by 2
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