Theorems · Theorem · number theory
UpperHalfPlane.modular_T_zpow_smul
∀ (z : UpperHalfPlane) (n : ℤ), ModularGroup.T ^ n • z = ↑n +ᵥ z
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexproof · cited by 5,565
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- HVAdd.hVAddstatement · cited by 1,820
- Complex.ofRealproof · cited by 1,654
- MulZeroClass.zero_mulproof · cited by 1,625
- add_commproof · cited by 1,535
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- div_oneproof · cited by 629
Cited by4
Results whose statement or proof uses this declaration.
- UpperHalfPlane.modular_T_smulproof · cited by 3
- UpperHalfPlane.ModularGroup_T_zpow_mem_verticalStripproof · cited by 1
- SlashInvariantForm.T_zpow_width_invariantproof · cited by 1
- jacobiTheta_T_sq_smulproof · cited by 0