Theorems · Definition · number theory
ModularGroup.fd
Set UpperHalfPlane
The standard (closed) fundamental domain of the action of SL(2,ℤ) on ℍ.
- Defined in
- Mathlib.NumberTheory.Modular
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- absproof · cited by 1,814
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.coeproof · cited by 288
- Complex.normSqproof · cited by 103
- UpperHalfPlane.reproof · cited by 63
Cited by18
Results whose statement or proof uses this declaration.
- ModularGroup.fdo_subset_fdstatement and proof · cited by 3
- ModularGroup.truncatedFundamentalDomainproof · cited by 3
- ModularGroup.exists_smul_mem_fdstatement · cited by 2
- ModularGroup.cases_of_mem_fd_smul_mem_fdstatement and proof · cited by 2
- ModularGroup.three_le_four_mul_im_sq_of_mem_fdstatement and proof · cited by 2
- ModularGroup.exists_bound_of_invariant_of_isBigOproof · cited by 2
- ModularGroup.exists_one_half_le_im_smulproof · cited by 1
- ModularGroup.I_mem_fdstatement · cited by 1
- ModularGroup.isClosed_fdstatement · cited by 1
- ModularGroup.ρ_mem_fdstatement · cited by 1
- ModularGroup.coe_fdstatement and proof · cited by 1
- ModularGroup.eq_one_or_neg_one_of_mem_fdo_mem_fdstatement and proof · cited by 1