scalingScaleOf — Mathlib

English

If μ = μ1 and K = K1, then scalingConstantOf(μ,K) = scalingConstantOf(μ1,K1).

Русский

Если μ = μ1 и K = K1, то scalingConstantOf(μ,K) = scalingConstantOf(μ1,K1).

LaTeX

$$$$ \\text{If }\\mu=\\mu_1 \\text{ and } K=K_1, \\ \\mathrm{scalingConstantOf}(\\mu,K) = \\mathrm{scalingConstantOf}(\\mu_1,K_1). $$$$

Lean4

/-- A scale below which the doubling measure `μ` satisfies good rescaling properties when one
multiplies the radius of balls by at most `K`, as stated
in `IsUnifLocDoublingMeasure.measure_mul_le_scalingConstantOf_mul`. -/
def scalingScaleOf (K : ℝ) : ℝ :=
  (eventually_measure_mul_le_scalingConstantOf_mul μ K).choose

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