English
If F is well-order continuous and G preserves well-order continuous of shape J, then the composite F ⋙ G is well-order continuous of shape J.
Русский
Если F — непрерывный по порядку по WELL и G сохраняет WellOrderContinuousOfShape J, то композиция F ⋙ G сохраняет WellOrderContinuousOfShape J.
LaTeX
$$$\text{PreservesWellOrderContinuousOfShape } J (F \;\text{⋙}\; G)$$$
Lean4
theorem preservesColimitsOfShape_of_preservesWellOrderContinuousOfShape (G : C ⥤ D)
[PreservesWellOrderContinuousOfShape J G] (j : J) (hj : Order.IsSuccLimit j) :
PreservesColimitsOfShape (Set.Iio j) G :=
PreservesWellOrderContinuousOfShape.preservesColimitsOfShape j hj
