Theorems · Definition · several complex variables
UpperHalfPlane.smulFDeriv
GL (Fin 2) ℝ → ℂ → ℂ →L[ℝ] ℂ
ℝ-linear map from ℂ to itself, which we shall show is the real derivative of the
GL(2, ℝ)-action on ℍ.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- RingHom.idstatement · cited by 18,349
- Complexstatement and proof · cited by 5,565
- ContinuousLinearMapstatement · cited by 5,352
- Units.valproof · cited by 1,966
- Complex.ofRealproof · cited by 1,654
- ContinuousLinearMap.compproof · cited by 709
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- ContinuousLinearEquiv.toContinuousLinearMapproof · cited by 448
- ContinuousLinearMap.toSpanSingletonproof · cited by 133
- UpperHalfPlane.denomproof · cited by 84
Cited by3
Results whose statement or proof uses this declaration.
- UpperHalfPlane.smulFDeriv_J_mulstatement and proof · cited by 1
- UpperHalfPlane.det_smulFDerivstatement · cited by 0
- UpperHalfPlane.hasStrictFDerivAt_smulstatement and proof · cited by 0