isSetAlgebra_measurableCylinders — Mathlib

English

The measure equality on universes is preserved under subset projections.

Русский

Эквивалентность меры на всём множесте сохраняется при проекции подупорядочивания.

LaTeX

$$$hP\ measure\_univ\_eq\_of\_subset$.$$

Lean4

theorem isSetAlgebra_measurableCylinders : IsSetAlgebra (measurableCylinders α)
    where
  empty_mem := empty_mem_measurableCylinders α
  compl_mem _ := compl_mem_measurableCylinders
  union_mem _ _ := union_mem_measurableCylinders

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