instHasLimitOppositeDiscreteOpFunctor

English

There is a limit for the composed functor ((Discrete.opposite α).inverse ⋙ (Discrete.functor Z).op) whenever HasCoproduct Z holds.

Русский

Существование предела для композиции ((Discrete.opposite α).inverse ⋙ (Discrete.functor Z).op) при наличии HasCoproduct Z.

LaTeX

$$$\\text{HasCoproduct } Z \\Rightarrow \\text{HasLimit }((\\mathrm{Discrete.opposite } α)^{-1} \\circ (\\mathrm{Discrete.functor } Z)^{\\mathrm{op}})$$$

Lean4

instance : HasLimit (Discrete.functor Z).op :=
  hasLimit_op_of_hasColimit (Discrete.functor Z)

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