Theorems · Theorem · real analysis
Real.sqrt_div
∀ {x : ℝ}, 0 ≤ x → ∀ (y : ℝ), √(x / y) = √x / √y- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 133 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.
- Realstatement and proof · cited by 25,697
- Real.sqrtstatement and proof · cited by 545
- Real.sqrt_mulproof · cited by 32
- division_defproof · cited by 21
- Real.sqrt_invproof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- Complex.norm_divproof · cited by 15
- Complex.cos_argproof · cited by 7
- Real.cos_pi_div_sixproof · cited by 3
- Real.arctan_eq_arccosproof · cited by 0