Theorems · Theorem · complex analysis
Complex.continuousWithinAt_arg_of_re_neg_of_im_zero
∀ {z : ℂ}, z.re < 0 → z.im = 0 → ContinuousWithinAt Complex.arg {z | 0 ≤ z.im} z- Cited by
- 2 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Set.ofPredstatement and proof · cited by 6,101
- Complexstatement and proof · cited by 5,565
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- Norm.normproof · cited by 5,413
- Filter.Eventuallyproof · cited by 3,134
- nhdsWithinproof · cited by 1,912
- Filter.EventuallyEqproof · cited by 1,912
- Real.piproof · cited by 1,774
- Filter.univ_mem'proof · cited by 1,672
- Complex.ofRealproof · cited by 1,654
- Filter.mp_memproof · cited by 1,537
Cited by2
Results whose statement or proof uses this declaration.
- Complex.continuousWithinAt_log_of_re_neg_of_im_zeroproof · cited by 1
- Complex.tendsto_arg_nhdsWithin_im_nonneg_of_re_neg_of_im_zeroproof · cited by 0