Theorems · Theorem · real analysis
NNReal.mul_self_sqrt
∀ (x : NNReal), NNReal.sqrt x * NNReal.sqrt x = x
- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- NNRealstatement and proof · cited by 4,310
- OrderIsostatement · cited by 874
- sqproof · cited by 280
- NNReal.sqrtstatement and proof · cited by 91
- NNReal.sq_sqrtproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- Real.mul_self_sqrtproof · cited by 23
- NNReal.agmSequences_fst_lt_agm_of_pos_of_neproof · cited by 1
- NNReal.isSquareproof · cited by 0