Theorems · Theorem · real analysis
Real.lt_sq_of_sqrt_lt
∀ {x y : ℝ}, √x < y → x < y ^ 2- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 130 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
- LT.lt.leproof · cited by 2,189
- LE.le.trans_ltproof · cited by 795
- Real.sqrtstatement and proof · cited by 545
- Real.sqrt_sqproof · cited by 36
- Real.sqrt_nonnegproof · cited by 35
- sq_pos_of_posproof · cited by 11
- Real.sqrt_lt_sqrt_iff_of_posproof · cited by 2
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