Theorems · Theorem · complex analysis
analyticAt_clog
∀ {z : ℂ}, z ∈ Complex.slitPlane → AnalyticAt ℂ Complex.log zlog is analytic away from nonpositive reals
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 288 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Complexstatement and proof · cited by 5,565
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- AnalyticAtstatement · cited by 321
- Complex.logstatement · cited by 187
- Complex.slitPlanestatement and proof · cited by 113
- differentiableAt_idproof · cited by 63
- IsOpen.eventually_memproof · cited by 24
- Complex.isOpen_slitPlaneproof · cited by 3
- DifferentiableAt.clogproof · cited by 2
- Complex.analyticAt_iff_eventually_differentiableAtproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- analyticAt_logproof · cited by 5
- hasFPowerSeriesAt_clog_oneproof · cited by 2
- AnalyticWithinAt.clogproof · cited by 1
- AnalyticOnNhd.clogproof · cited by 0
- AnalyticAt.clogproof · cited by 0
- AnalyticOn.clogproof · cited by 0