measure_def — Mathlib

English

The measure μ_f is the measure on ℝ associated to f, characterized by μ_f((a,b]) = f(b) - f(a).

Русский

Мера μ_f — это мера на ℝ, связанная с f, удовлетворяющая μ_f((a,b]) = f(b) - f(a).

LaTeX

$$μ_f((a,b]) = f(b) - f(a)$$

Lean4

theorem measure_def : eta_helper Eq✝ @measure.{} @(delta% @definition✝) :=
  by
  intros
  delta measure
  rw [show wrapped✝ = ⟨@definition✝.{}, rfl✝⟩ from Subtype.ext✝ wrapped✝.2.symm✝]
  rfl

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