Theorems · Theorem · complex analysis
Function.Periodic.im_invQParam
∀ (h : ℝ) (q : ℂ), (Function.Periodic.invQParam h q).im = -h / (2 * Real.pi) * Real.log ‖q‖
- Defined in
- Mathlib.Analysis.Complex.Periodic
- Cited by
- 2 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.
Cites27
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
- Complexstatement and proof · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- MulZeroClass.zero_mulproof · cited by 1,625
- sub_selfproof · cited by 996
- Real.logstatement and proof · cited by 939
Cited by2
Results whose statement or proof uses this declaration.
- Function.Periodic.invQParam_tendstoproof · cited by 3
- Function.Periodic.im_invQParam_pos_of_norm_lt_oneproof · cited by 2