Mathlib Map

Theorems · Theorem · several complex variables

UpperHalfPlane.mdifferentiable_smul

∀ {g : GL (Fin 2) ℝ}, 0 < ↑(Matrix.GeneralLinearGroup.det g) → MDiff fun τ => g • τ

Each element of GL(2, ℝ)⁺ defines a complex-differentiable map ℍ → ℍ.

Defined in
Mathlib.Analysis.Complex.UpperHalfPlane.Manifold
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.

Cited by1

Results whose statement or proof uses this declaration.