Theorems · Theorem · complex analysis
Complex.norm_log_one_add_le
∀ {z : ℂ}, ‖z‖ < 1 → ‖Complex.log (1 + z)‖ ≤ ‖z‖ ^ 2 * (1 - ‖z‖)⁻¹ / 2 + ‖z‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 274 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- le_rflproof · cited by 1,558
- sub_add_cancelproof · cited by 344
- Complex.logstatement and proof · cited by 187
- norm_add_le_of_leproof · cited by 13
- Complex.norm_log_one_add_sub_self_leproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Complex.norm_log_one_add_half_le_selfproof · cited by 2