Theorems · Theorem · real analysis
NNReal.sqrt_eq_iff_eq_sq
∀ {x y : NNReal}, NNReal.sqrt x = y ↔ x = y ^ 2- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 1 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.
Cites6
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
- RelIso.toEquivproof · cited by 113
- NNReal.sqrtstatement and proof · cited by 91
- Equiv.eq_symm_applyproof · cited by 85
Cited by1
Results whose statement or proof uses this declaration.
- NNReal.sqrt_mulproof · cited by 6