Theorems · Theorem · real analysis
NNReal.sqrt_le_iff_le_sq
∀ {x y : NNReal}, NNReal.sqrt x ≤ y ↔ x ≤ y ^ 2- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- NNRealstatement and proof · cited by 4,310
- OrderIsostatement · cited by 874
- NNReal.sqrtstatement and proof · cited by 91
- OrderIso.to_galoisConnectionproof · cited by 32
Cited by3
Results whose statement or proof uses this declaration.
- Real.sqrt_le_leftproof · cited by 9
- NNReal.sqrt_mul_le_half_addproof · cited by 3
- NNReal.sqrt_mul_le_maxproof · cited by 0