Theorems · Theorem · real analysis
NNReal.sqrt_sq
∀ (x : NNReal), NNReal.sqrt (x ^ 2) = x
- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 7 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.apply_symm_applyproof · cited by 45
Cited by7
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasisproof · cited by 4
- DoubleCentralizer.norm_fst_eq_sndproof · cited by 3
- gelfandTransform_isometryproof · cited by 2
- CStarAlgebra.nnnorm_sub_mul_self_leproof · cited by 1
- NNReal.sqrt_mul_lt_half_add_of_neproof · cited by 1
- NNReal.sqrt_mul_selfproof · cited by 0
- NNReal.agm_mul_distribproof · cited by 0