Theorems · Theorem · complex analysis
Complex.cpow_def
∀ (x y : ℂ), x ^ y = if x = 0 then if y = 0 then 1 else 0 else Complex.exp (Complex.log x * y)
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Complex.expstatement · cited by 612
- Complex.logstatement · cited by 187
Cited by3
Results whose statement or proof uses this declaration.
- Complex.cpow_oneproof · cited by 20
- Complex.one_cpowproof · cited by 14
- Real.rpow_def_of_negproof · cited by 7