instMeasurableMul₂ — Mathlib

English

There is a MeasurableMul₂ structure on MulOpposite M, derived from measurable operations on M.

Русский

Существует структура MeasurableMul₂ на MulOpposite M, полученная из измеримых операций над M.

LaTeX

$$$\\text{MeasurableMul₂ }(MulOpposite\\,M)$$$

Lean4

@[to_additive]
instance instMeasurableMul₂ {M : Type*} [Mul M] [MeasurableSpace M] [MeasurableMul₂ M] : MeasurableMul₂ Mᵐᵒᵖ :=
  ⟨measurable_mul_op.comp ((measurable_mul_unop.comp measurable_snd).mul (measurable_mul_unop.comp measurable_fst))⟩

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