Theorems · Definition · number theory
UpperHalfPlane.IsZeroAtImInfty
{α : Type u_1} → [Zero α] → [TopologicalSpace α] → (UpperHalfPlane → α) → PropA function f : ℍ → α is zero at infinity it is zero along atImInfty.
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.atImInftyproof · cited by 35
- Filter.ZeroAtFilterproof · cited by 11
Cited by25
Results whose statement or proof uses this declaration.
- OnePoint.IsZeroAtproof · cited by 14
- CuspFormClass.zero_at_inftystatement · cited by 8
- UpperHalfPlane.IsZeroAtImInfty.valueAtInfty_eq_zerostatement and proof · cited by 5
- UpperHalfPlane.IsZeroAtImInfty.zero_at_infty_comp_ofComplexstatement and proof · cited by 2
- ModularFormClass.exp_decay_atImInfty'statement and proof · cited by 2
- OnePoint.isZeroAt_infty_iffstatement and proof · cited by 2
- UpperHalfPlane.IsZeroAtImInfty.of_exp_decaystatement · cited by 2
- UpperHalfPlane.IsZeroAtImInfty.petersson_exp_decay_leftstatement and proof · cited by 2
- UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_leftstatement and proof · cited by 1
- UpperHalfPlane.IsZeroAtImInfty.slashstatement and proof · cited by 1
- ModularForm.discriminant_isZeroAtImInftystatement · cited by 1
- OnePoint.IsZeroAt.smul_iffproof · cited by 1