Theorems · Theorem · number theory
ModularFormClass.holo
∀ {F : Type u_2} {Γ : outParam (Subgroup (GL (Fin 2) ℝ))} {k : outParam ℤ} {inst : FunLike F UpperHalfPlane ℂ}
[self : ModularFormClass F Γ k] (f : F), MDiff ⇑f- Defined in
- Mathlib.NumberTheory.ModularForms.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ModularFormClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- FunLikestatement and proof · cited by 2,560
- modelWithCornersSelfstatement · cited by 920
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- MDifferentiablestatement · cited by 134
- ModularFormClassstatement and proof · cited by 64
Cited by8
Results whose statement or proof uses this declaration.
- ModularFormClass.analyticAt_cuspFunction_zeroproof · cited by 14
- ModularFormClass.modularFormproof · cited by 4
- ModularFormClass.continuousproof · cited by 3
- ModularFormClass.exp_decay_sub_atImInfty'proof · cited by 1
- ModularForm.qExpansion_eq_zero_iffproof · cited by 1
- ModularFormClass.qExpansion_coeff_eq_intervalIntegralproof · cited by 1
- ModularForm.hasSum_qExpansionproof · cited by 0
- ModularFormClass.differentiableAt_cuspFunctionproof · cited by 0