Theorems · Theorem · real analysis
NNReal.sq_sqrt
∀ (x : NNReal), NNReal.sqrt x ^ 2 = x
- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 9 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.symm_apply_applyproof · cited by 41
Cited by9
Results whose statement or proof uses this declaration.
- NNReal.sqrt_mulproof · cited by 6
- Matrix.frobenius_nnnorm_defproof · cited by 5
- NNReal.mul_self_sqrtproof · cited by 3
- DoubleCentralizer.norm_fst_eq_sndproof · cited by 3
- PiLp.norm_sq_eq_of_L2proof · cited by 2
- ProbabilityTheory.Kernel.HasSubgaussianMGF.addproof · cited by 1
- NumberField.mixedEmbedding.exists_primitive_element_lt_of_isComplexproof · cited by 1
- WithLp.prod_norm_sq_eq_of_L2proof · cited by 0
- NNReal.sum_sqrt_mul_sqrt_leproof · cited by 0