Theorems · Definition · group theory
ModularGroup.T
Matrix.SpecialLinearGroup (Fin 2) ℤ
The matrix T = [[1, 1], [0, 1]] as an element of SL(2, ℤ).
- Cited by
- 48 results in Mathlib
- Foundations
- Depth 94 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.
- DFunLike.coeproof · cited by 62,936
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Matrix.SpecialLinearGroupstatement · cited by 348
- Matrix.ofproof · cited by 336
Cited by50
Results whose statement or proof uses this declaration.
- ModularGroup.coe_T_zpowstatement and proof · cited by 9
- FixedDetMatrices.reduceStepproof · cited by 7
- FixedDetMatrices.reduceproof · cited by 6
- UpperHalfPlane.modular_T_zpow_smulstatement and proof · cited by 4
- Subgroup.strictPeriods_eq_zmultiples_one_of_T_memstatement and proof · cited by 4
- ModularGroup.re_T_zpow_smulstatement and proof · cited by 3
- UpperHalfPlane.modular_T_smulstatement and proof · cited by 3
- Subgroup.strictPeriods_SL2Zproof · cited by 3
- Subgroup.strictWidthInfty_eq_one_of_T_memstatement and proof · cited by 3
- isCusp_SL2Z_iffproof · cited by 3
- ModularGroup.coe_T_zpow_smul_eqstatement and proof · cited by 3
- ModularGroup.exists_smul_mem_fdproof · cited by 2