Theorems · Theorem · several complex variables
UpperHalfPlane.mdifferentiable_smul
∀ {g : GL (Fin 2) ℝ}, 0 < ↑(Matrix.GeneralLinearGroup.det g) → MDiff fun τ => g • τEach element of GL(2, ℝ)⁺ defines a complex-differentiable map ℍ → ℍ.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 290 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Realstatement and proof · cited by 25,697
- Complexstatement · cited by 5,565
- Matrixstatement · cited by 4,303
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- Unitsstatement · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- modelWithCornersSelfstatement · cited by 920
- one_ne_zeroproof · cited by 885
- UpperHalfPlanestatement · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- MDifferentiablestatement · cited by 134
Cited by1
Results whose statement or proof uses this declaration.
- UpperHalfPlane.analyticAt_smulproof · cited by 1