Theorems · Theorem · real analysis
Real.lt_sqrt_of_sq_lt
∀ {x y : ℝ}, x ^ 2 < y → x < √y- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Real.sq_ltproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Real.exp_arsinhproof · cited by 2
- Behrend.three_le_nValueproof · cited by 1
- Unitary.continuousOn_argSelfAdjointproof · cited by 0
- Chebyshev.pi_le_log4_mul_divproof · cited by 0