preadditiveYoneda_map_distinguished

English

The opposite version of homological Yoneda objects is homological in the additive sense.

Русский

Противоположная версия гомологического объекта Юонады гомологична в аддитивном смысле.

LaTeX

$$$\\text{instIsHomologicalAdd} (\\text{Opposite}(C))$$$

Lean4

theorem preadditiveYoneda_map_distinguished (T : Triangle C) (hT : T ∈ distTriang C) (B : C) :
    ((shortComplexOfDistTriangle T hT).op.map (preadditiveYoneda.obj B)).Exact :=
  (preadditiveYoneda.obj B).map_distinguished_op_exact T hT

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