Theorems · Theorem · complex analysis
Complex.abs_arg_le_pi_div_two_iff
∀ {z : ℂ}, |z.arg| ≤ Real.pi / 2 ↔ 0 ≤ z.re- Cited by
- 0 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- absstatement · cited by 1,814
- Real.pistatement and proof · cited by 1,774
- Complex.restatement and proof · cited by 882
- Complex.improof · cited by 591
- not_leproof · cited by 328
- Complex.argstatement and proof · cited by 220
- abs_leproof · cited by 64
- Complex.arg_le_pi_div_two_iffproof · cited by 4
- Complex.neg_pi_div_two_le_arg_iffproof · cited by 2
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