Theorems · Theorem · complex analysis
Complex.sqrt_I
Complex.I.sqrt = ↑√2⁻¹ * (1 + Complex.I)
- Defined in
- Mathlib.Analysis.RCLike.Sqrt
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- Complex.ofRealstatement and proof · cited by 1,654
- sub_zeroproof · cited by 938
- Complex.reproof · cited by 882
- Complex.Istatement and proof · cited by 866
- one_divproof · cited by 624
- Real.sqrtstatement and proof · cited by 545
- mul_addproof · cited by 413
Cited by1
Results whose statement or proof uses this declaration.
- RCLike.sqrt_Iproof · cited by 0