Theorems · Theorem · complex analysis
Complex.im_le_norm
∀ (z : ℂ), z.im ≤ ‖z‖
- Defined in
- Mathlib.Analysis.Complex.Norm
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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 · cited by 5,413
- Complex.imstatement · cited by 591
- abs_leproof · cited by 64
- Complex.abs_im_le_normproof · cited by 6
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