Theorems · Theorem · number theory
UpperHalfPlane.cuspFunction_mul_zero
∀ {h : ℝ} {f g : ℂ → ℂ},
ContinuousAt (Function.Periodic.cuspFunction h f) 0 →
ContinuousAt (Function.Periodic.cuspFunction h g) 0 →
Function.Periodic.cuspFunction h (f * g) 0 =
Function.Periodic.cuspFunction h f 0 * Function.Periodic.cuspFunction h g 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 193 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.
- 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
- ContinuousAtstatement and proof · cited by 697
- Function.update_selfproof · cited by 201
- Filter.Tendsto.mulproof · cited by 74
- Filter.limUnderproof · cited by 47
- Filter.Tendsto.limUnder_eqproof · cited by 19
- Function.Periodic.invQParamproof · cited by 18
- Function.Periodic.cuspFunctionstatement and proof · cited by 18
- Function.Periodic.tendsto_nhds_zeroproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- UpperHalfPlane.cuspFunction_mulproof · cited by 2
- UpperHalfPlane.qExpansion_mul_coeff_zeroproof · cited by 0