lipschitzExtensionConstant — Mathlib

English

The Lipschitz extension constant is defined by a certain explicit construction depending on the target finite-dimensional space E'.

Русский

Постоянная расширения Lipschitz задана явной конструкцией, зависящей от пространства E'.

LaTeX

$$$ lipschitzExtensionConstant := \text{explicit construction depending on } E' $$$

Lean4

/-- Any `K`-Lipschitz map from a subset `s` of a metric space `α` to a finite-dimensional real
vector space `E'` can be extended to a Lipschitz map on the whole space `α`, with a slightly worse
constant `C * K` where `C` only depends on `E'`. We record a working value for this constant `C`
as `lipschitzExtensionConstant E'`. -/
def lipschitzExtensionConstant :=
  val_proj @wrapped✝.{}

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