Theorems · Theorem · complex analysis
Function.Periodic.eq_cuspFunction
∀ {h : ℝ} {f : ℂ → ℂ},
h ≠ 0 → Function.Periodic f ↑h → ∀ (z : ℂ), Function.Periodic.cuspFunction h f (Function.Periodic.qParam h z) = f z- Defined in
- Mathlib.Analysis.Complex.Periodic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Compl.complproof · cited by 2,925
- nhdsWithinproof · cited by 1,912
- Real.piproof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.Iproof · cited by 866
- Function.update_of_neproof · cited by 198
- Function.Periodicstatement and proof · cited by 154
- Filter.limUnderproof · cited by 47
- Function.Periodic.qParamstatement and proof · cited by 42
- Complex.exp_ne_zeroproof · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- UpperHalfPlane.eq_cuspFunctionproof · cited by 4
- Function.Periodic.exp_decay_sub_of_bounded_at_infproof · cited by 2
- Function.Periodic.differentiableAt_cuspFunctionproof · cited by 2
- Function.Periodic.tendsto_at_I_infproof · cited by 0