Theorems · Theorem · number theory
UpperHalfPlane.modular_T_smul
∀ (z : UpperHalfPlane), ModularGroup.T • z = 1 +ᵥ z
- 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- HVAdd.hVAddstatement and proof · cited by 1,820
- UpperHalfPlanestatement and proof · cited by 626
- Int.cast_oneproof · cited by 371
- Matrix.SpecialLinearGroupstatement · cited by 348
- ModularGroup.Tstatement and proof · cited by 48
- zpow_oneproof · cited by 41
- UpperHalfPlane.modular_T_zpow_smulproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- EisensteinSeries.G2_T_transformproof · cited by 1
- ModularGroup.stabilizer_ρproof · cited by 0
- ModularForm.discriminant_T_invariantproof · cited by 0