Theorems · Theorem · complex analysis
Complex.continuousWithinAt_log_of_re_neg_of_im_zero
∀ {z : ℂ}, z.re < 0 → z.im = 0 → ContinuousWithinAt Complex.log {z | 0 ≤ z.im} z- Cited by
- 1 results in Mathlib
- Foundations
- Depth 190 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
- Set.ofPredstatement and proof · cited by 6,101
- Complexstatement and proof · cited by 5,565
- Complex.ofRealproof · cited by 1,654
- Complex.restatement and proof · cited by 882
- LT.lt.neproof · cited by 872
- Complex.imstatement and proof · cited by 591
- ContinuousWithinAtstatement and proof · cited by 512
- tendsto_const_nhdsproof · cited by 330
- Continuous.continuousAtproof · cited by 297
- Complex.logstatement and proof · cited by 187
- Complex.continuous_ofRealproof · cited by 107
Cited by1
Results whose statement or proof uses this declaration.
- Complex.tendsto_log_nhdsWithin_im_nonneg_of_re_neg_of_im_zeroproof · cited by 0