closedUnderLimitsOfShape_discrete_empty

English

As above, the discrete PEmpty case for costructured arrows is closed under limits.

Русский

Так же случай дискретного PEmpty для costructured стрелок замкнут по пределам.

LaTeX

$$$$ \\operatorname{ClosedUnderLimitsOfShape}\\Bigl( \\operatorname{Discrete}(PEmpty), \\; P.\\mathrm{costructuredArrowObj}(L, X) \\Bigr) $$$$

Lean4

theorem closedUnderLimitsOfShape_discrete_empty [P.ContainsIdentities] [P.RespectsIso] :
    ClosedUnderLimitsOfShape (Discrete PEmpty.{1}) (P.overObj (X := X)) :=
  CostructuredArrow.closedUnderLimitsOfShape_discrete_empty P

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