hasLimit_of_hasLimit_comp_forget — Mathlib

English

There is a HasColimitsOfShape J for Under X whenever J-shaped Colimits exist in C.

Русский

Для Under X существует HasColimitsOfShape J, если в C есть колимиты формы J.

LaTeX

$$$ [\\text{HasColimitsOfShape } J\, C] \\Rightarrow [\\text{HasColimitsOfShape } J\, (\\mathrm{Under}(X))]. $$$

Lean4

instance hasLimit_of_hasLimit_comp_forget (F : J ⥤ Under X) [i : HasLimit (F ⋙ forget X)] : HasLimit F :=
  StructuredArrow.hasLimit (i₁ := i)

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