Theorems · Theorem · real analysis
Real.sqrt_monotone
Monotone Real.sqrt
- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Monotonestatement · cited by 1,397
- Real.sqrtstatement · cited by 545
- Real.sqrt_le_sqrtproof · cited by 5
Cited by9
Results whose statement or proof uses this declaration.
- Complex.norm_le_sqrt_two_mul_maxproof · cited by 2
- Real.strictMonoOn_arcoshproof · cited by 2
- Behrend.le_sqrt_logproof · cited by 1
- OrthonormalBasis.norm_le_card_mul_iSup_norm_innerproof · cited by 1
- EisensteinSeries.r_lower_bound_on_verticalStripproof · cited by 1
- Polynomial.mahlerMeasure_le_sqrt_sum_sq_norm_coeffproof · cited by 1
- ruzsaSzemerediNumberNat_asymptotic_lower_boundproof · cited by 0
- Nat.ratSqrt_le_realSqrtproof · cited by 0
- Polynomial.mahlerMeasure_le_sqrt_natDegree_add_one_mul_supNormproof · cited by 0