Theorems · Theorem · real analysis
Real.sqrt_eq_iff_mul_self_eq
∀ {x y : ℝ}, 0 ≤ x → 0 ≤ y → (√x = y ↔ x = y * y)- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 129 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.
- Realstatement and proof · cited by 25,697
- Real.sqrtstatement and proof · cited by 545
- Real.mul_self_sqrtproof · cited by 23
- Real.sqrt_mul_selfproof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- Real.sqrt_eq_iff_eq_sqproof · cited by 4
- norm_add_eq_sqrt_iff_real_inner_eq_zeroproof · cited by 3
- norm_sub_eq_sqrt_iff_real_inner_eq_zeroproof · cited by 0