Theorems · Theorem · complex analysis
Complex.norm_le_sqrt_two_mul_max
∀ (z : ℂ), ‖z‖ ≤ √2 * max |z.re| |z.im|
- Defined in
- Mathlib.Analysis.Complex.Norm
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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.normstatement · cited by 5,413
- absstatement and proof · cited by 1,814
- le_of_ltproof · cited by 1,175
- Complex.restatement · cited by 882
- add_le_addproof · cited by 666
- Complex.imstatement · cited by 591
- Real.sqrtstatement and proof · cited by 545
- abs_of_nonnegproof · cited by 279
- two_mulproof · cited by 232
- le_max_leftproof · cited by 215
Cited by2
Results whose statement or proof uses this declaration.
- Complex.antilipschitz_equivRealProdproof · cited by 2
- Complex.IsExpCmpFilter.isLittleO_log_norm_reproof · cited by 1