hasRightKanExtension — Mathlib

English

There is an isomorphy between LeftDerived functor and totalLeftDerived counit; the counit carries the left-derived structure.

Русский

Существует изоморфизм между левымDerived-функтором и counit от totalLeftDerived; counit несёт левое производное.

LaTeX

$$$$ LF \\text{ has left derived via counit } (L W) \\iff \\text{totalLeftDerivedCounit }(L W) \\text{ induces a left derived structure}. $$$$

Lean4

theorem hasRightKanExtension [HasLeftDerivedFunctor F W] : HasRightKanExtension L F := by
  simpa only [← hasLeftDerivedFunctor_iff F L W]

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