Theorems · Theorem · real analysis
Complex.norm_cpow_le
∀ (z w : ℂ), ‖z ^ w‖ ≤ ‖z‖ ^ w.re / Real.exp (z.arg * w.im)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- MulZeroClass.zero_mulproof · cited by 1,625
- Complex.restatement and proof · cited by 882
- Real.expstatement and proof · cited by 871
- Eq.leproof · cited by 605
- Complex.imstatement and proof · cited by 591
- norm_zeroproof · cited by 366
- div_selfproof · cited by 237
- Complex.argstatement and proof · cited by 220
- Real.exp_zeroproof · cited by 81
Cited by2
Results whose statement or proof uses this declaration.
- Complex.continuousAt_cpow_zero_of_re_posproof · cited by 2
- Complex.isBigO_cpow_rpowproof · cited by 0