measurableInf — Mathlib

English

If γ has a continuous infimum operation, then the infimum operator is measurable.

Русский

Если в γ есть непрерывная операция inf, то инфimum измерим.

LaTeX

$$$\text{MeasurableInf}(\gamma)$$$

Lean4

instance (priority := 100) measurableInf [Min γ] [ContinuousInf γ] : MeasurableInf γ
    where
  measurable_const_inf _ := (continuous_const.inf continuous_id).measurable
  measurable_inf_const _ := (continuous_id.inf continuous_const).measurable

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