instPreservesLimitsOfShapeTopCatForget₂OfHasLimitsOfShapeOfModuleCatForget

English

The maps from the induced topology into X_i are given by the corresponding induced morphisms.

Русский

Отображения из индуцированной топологии в X_i заданы соответствующими морфизмами induced.

LaTeX

$$$\\forall i,\\; fromInduced(i) : induced(f) \\to X_i$$$

Lean4

instance {J : Type*} [Category J] [HasLimitsOfShape J (ModuleCat.{v} R)]
    [PreservesLimitsOfShape J (forget (ModuleCat.{v} R))] :
    PreservesLimitsOfShape J (forget₂ (TopModuleCat.{v} R) TopCat) where

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