Theorems · Theorem · number theory
ModularGroup.re_T_zpow_smul
∀ (z : UpperHalfPlane) (n : ℤ), (ModularGroup.T ^ n • z).re = z.re + ↑n
- Defined in
- Mathlib.NumberTheory.Modular
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexproof · cited by 5,565
- Complex.reproof · cited by 882
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.SpecialLinearGroupstatement · cited by 348
- UpperHalfPlane.coeproof · cited by 288
- UpperHalfPlane.restatement and proof · cited by 63
- ModularGroup.Tstatement and proof · cited by 48
- Complex.add_reproof · cited by 22
- ModularGroup.coe_T_zpow_smul_eqproof · cited by 3
- UpperHalfPlane.coe_reproof · cited by 1
- Complex.intCast_reproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- ModularGroup.re_T_smulproof · cited by 2
- ModularGroup.re_T_inv_smulproof · cited by 1
- ModularGroup.eq_zero_of_mem_fdo_of_T_zpow_mem_fdoproof · cited by 0