Theorems · Theorem · complex analysis
Complex.continuous_re
Continuous Complex.re
- Defined in
- Mathlib.Analysis.Complex.Basic
- Cited by
- 60 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 · cited by 5,565
- Continuousstatement · cited by 2,592
- Complex.restatement · cited by 882
- ContinuousLinearMap.continuousproof · cited by 124
- Complex.reCLMproof · cited by 46
Cited by61
Results whose statement or proof uses this declaration.
- Real.continuous_sinproof · cited by 16
- Real.continuous_cosproof · cited by 14
- Real.continuous_expproof · cited by 14
- Complex.differentiableAt_Gammaproof · cited by 8
- MeasureTheory.ComplexMeasure.reproof · cited by 7
- Complex.frontier_preimage_reproof · cited by 4
- Complex.isOpen_re_gt_ERealproof · cited by 4
- UpperHalfPlane.continuous_reproof · cited by 4
- ProbabilityTheory.analyticOnNhd_complexMGFproof · cited by 3
- Complex.isOpen_slitPlaneproof · cited by 3
- Complex.continuousAt_argproof · cited by 3
- cfcₙ_im_idproof · cited by 3