Theorems · Definition · real analysis
NNReal.sqrt
NNReal ≃o NNReal
Square root of a nonnegative real number.
- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 91 results in Mathlib
- Foundations
- Depth 124 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.
- NNRealstatement · cited by 4,310
- OrderIsostatement · cited by 874
- OrderIso.symmproof · cited by 475
- NNReal.powOrderIsoproof · cited by 1
Cited by96
Results whose statement or proof uses this declaration.
- Real.sqrtproof · cited by 545
- CFC.sqrtproof · cited by 82
- Real.sqrt_nonnegproof · cited by 35
- Real.sqrt_mulproof · cited by 32
- Real.sqrt_zeroproof · cited by 28
- NNReal.agmSequencesproof · cited by 25
- Real.mul_self_sqrtproof · cited by 23
- Real.sqrt_oneproof · cited by 16
- Real.coe_sqrtstatement and proof · cited by 15
- Real.sqrt_invproof · cited by 13
- Real.sqrt_eq_zero_of_nonposproof · cited by 12
- CFC.sqrt_nonnegproof · cited by 11