Theorems · Theorem · real analysis
Real.sqrt_le_one
∀ {x : ℝ}, √x ≤ 1 ↔ x ≤ 1- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 131 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
- Real.sqrtstatement and proof · cited by 545
- zero_le_oneproof · cited by 316
- Real.sqrt_oneproof · cited by 16
- Real.sqrt_le_sqrt_iffproof · cited by 6
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