Theorems · Theorem · real analysis
Real.sqrt_le_self_iff
∀ {x : ℝ}, √x ≤ x ↔ x = 0 ∨ 1 ≤ x- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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 · cited by 545
- sqproof · cited by 280
- sub_nonnegproof · cited by 167
- mul_sub_oneproof · cited by 8
- Real.sqrt_le_iffproof · cited by 2
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