Theorems · Theorem · group theory
ModularGroup.coe_T_zpow
∀ (n : ℤ), ↑(ModularGroup.T ^ n) = !![1, n; 0, 1]
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Matrixstatement and proof · cited by 4,303
- mul_oneproof · cited by 3,885
- add_commproof · cited by 1,535
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- Matrix.detstatement · cited by 665
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- Matrix.ofstatement and proof · cited by 336
- zpow_zeroproof · cited by 52
- ModularGroup.Tstatement and proof · cited by 48
Cited by9
Results whose statement or proof uses this declaration.
- UpperHalfPlane.modular_T_zpow_smulproof · cited by 4
- Subgroup.strictPeriods_eq_zmultiples_one_of_T_memproof · cited by 4
- ModularGroup.coe_T_zpow_smul_eqproof · cited by 3
- CongruenceSubgroup.strictPeriods_Gammaproof · cited by 2
- ModularGroup.T_pow_mul_apply_oneproof · cited by 2
- FixedDetMatrices.reduce_mem_repsproof · cited by 1
- ModularGroup.exists_eq_T_zpow_of_c_eq_zeroproof · cited by 0
- CongruenceSubgroup.ModularGroup_T_pow_mem_Gammaproof · cited by 0
- ModularGroup.g_eq_of_c_eq_oneproof · cited by 0