instIsLeftDerivedFunctorTotalLeftDerivedTotalLeftDerivedCounit

English

If F has a LeftDerivedFunctor with respect to W, then L has a RightKanExtension for F.

Русский

Если F имеет левоеDerived относительно W, то у L есть RightKanExtension для F.

LaTeX

$$$$ [\\text{HasLeftDerivedFunctor } F W] \\Rightarrow [\\text{HasRightKanExtension } L F]. $$$$

Lean4

instance : (F.totalLeftDerived L W).IsLeftDerivedFunctor (F.totalLeftDerivedCounit L W) W where
  isRightKanExtension := by
    dsimp [totalLeftDerived, totalLeftDerivedCounit]
    infer_instance

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