Theorems · Theorem · complex analysis
Function.Periodic.cuspFunction_eq_of_nonzero
∀ (h : ℝ) (f : ℂ → ℂ) {q : ℂ}, q ≠ 0 → Function.Periodic.cuspFunction h f q = f (Function.Periodic.invQParam h q)- Defined in
- Mathlib.Analysis.Complex.Periodic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Function.update_of_neproof · cited by 198
- Filter.limUnderproof · cited by 47
- Function.Periodic.invQParamstatement and proof · cited by 18
- Function.Periodic.cuspFunctionstatement · cited by 18
Cited by4
Results whose statement or proof uses this declaration.
- UpperHalfPlane.qExpansion_oneproof · cited by 2
- Function.Periodic.tendsto_nhds_zeroproof · cited by 2
- Function.Periodic.boundedAtFilter_cuspFunctionproof · cited by 1
- ModularForm.discriminant_cuspFunction_eqOnproof · cited by 1