finiteSpanningSetsInOpen'_def — Mathlib

English

Relation between the open spanning construction and its definition in a second countable setting.

Русский

Связь между开放ой последовательностью покрытий и её определением вторая счётность пространства.

LaTeX

$$$$\text{Relation between open spanning and its definition in second countable spaces.}$$$$

Lean4

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

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