Theorems · Definition · number theory
UpperHalfPlane.IsBoundedAtImInfty
{α : Type u_1} → [Norm α] → (UpperHalfPlane → α) → PropA function f : ℍ → α is bounded at infinity if it is bounded along atImInfty.
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Norm
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.
- UpperHalfPlanestatement and proof · cited by 626
- Normstatement and proof · cited by 512
- UpperHalfPlane.atImInftyproof · cited by 35
- Filter.BoundedAtFilterproof · cited by 14
Cited by31
Results whose statement or proof uses this declaration.
- OnePoint.IsBoundedAtproof · cited by 12
- ModularFormClass.bdd_at_inftystatement · cited by 8
- UpperHalfPlane.differentiableOn_cuspFunction_ballstatement and proof · cited by 3
- OnePoint.isBoundedAt_infty_iffstatement and proof · cited by 3
- UpperHalfPlane.differentiableAt_cuspFunctionstatement and proof · cited by 2
- UpperHalfPlane.exp_decay_sub_atImInftystatement and proof · cited by 2
- UpperHalfPlane.analyticAt_cuspFunction_zerostatement and proof · cited by 2
- UpperHalfPlane.hasSum_qExpansionstatement and proof · cited by 2
- UpperHalfPlane.hasSum_qExpansion_of_norm_ltstatement and proof · cited by 2
- UpperHalfPlane.IsZeroAtImInfty.petersson_exp_decay_leftproof · cited by 2
- UpperHalfPlane.isBoundedAtImInfty_of_hasSum_qExpansionstatement · cited by 1
- ModularFormClass.bdd_at_infty_slashstatement · cited by 1