Theorems · Theorem · complex analysis
Complex.derivWithin_sqrt
∀ {z : ℂ}, z ∈ Complex.slitPlane → derivWithin Complex.sqrt Complex.slitPlane z = z ^ (-1 / 2) / 2- Defined in
- Mathlib.Analysis.Complex.SqrtDeriv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Complexstatement and proof · cited by 5,565
- derivWithinstatement · cited by 258
- Complex.slitPlanestatement and proof · cited by 113
- HasDerivWithinAt.derivWithinproof · cited by 62
- Complex.sqrtstatement · cited by 32
- IsOpen.uniqueDiffWithinAtproof · cited by 7
- Complex.isOpen_slitPlaneproof · cited by 3
- Complex.hasDerivWithinAt_sqrtproof · cited by 1
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