Theorems · Theorem · number theory
UpperHalfPlane.IsZeroAtImInfty.valueAtInfty_eq_zero
∀ {f : UpperHalfPlane → ℂ}, UpperHalfPlane.IsZeroAtImInfty f → UpperHalfPlane.valueAtInfty f = 0- Cited by
- 5 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.IsZeroAtImInftystatement and proof · cited by 24
- Filter.Tendsto.limUnder_eqproof · cited by 19
- UpperHalfPlane.valueAtInftystatement · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- CuspForm.isStrongFEPairproof · cited by 2
- ModularFormClass.exp_decay_atImInfty'proof · cited by 2
- ModularForm.isCuspForm_iff_coeffZero_eq_zeroproof · cited by 2
- UpperHalfPlane.IsZeroAtImInfty.exp_decay_atImInftyproof · cited by 1
- CuspForm.hasSum_Λproof · cited by 1