English
The away variant of localization preserves the property P under the localization away framework.
Русский
Вариант Away локализации сохраняет свойство P в рамках локализации away.
LaTeX
$$$\\text{away preserves }P$$$
Lean4
theorem and (hP : PropertyIsLocal P) (hQ : PropertyIsLocal Q) : PropertyIsLocal (fun f ↦ P f ∧ Q f)
where
localizationAwayPreserves := hP.localizationAwayPreserves.and hQ.localizationAwayPreserves
ofLocalizationSpanTarget := hP.ofLocalizationSpanTarget.and hQ.ofLocalizationSpanTarget
ofLocalizationSpan := hP.ofLocalizationSpan.and hQ.ofLocalizationSpan
StableUnderCompositionWithLocalizationAwayTarget :=
hP.StableUnderCompositionWithLocalizationAwayTarget.and hQ.StableUnderCompositionWithLocalizationAwayTarget
