mkContinuous — Mathlib

English

If both g and f are conformal, then their composition g ∘ f is conformal.

Русский

Если и g, и f конформны, то их композиция тоже конформна.

LaTeX

$$$IsConformalMap g\to IsConformalMap f\to IsConformalMap (g \circ f)$$$

Lean4

/-- Construct a continuous linear map from a linear map and a bound on this linear map.
The fact that the norm of the continuous linear map is then controlled is given in
`LinearMap.mkContinuous_norm_le`. -/
def mkContinuous (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) : E →SL[σ] F :=
  ⟨f, AddMonoidHomClass.continuous_of_bound f C h⟩

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