instIsConnectedStructuredArrowCostructuredArrowObjCostructuredArrowRightwardsOfGuitartExact

English

Guitart exactness is equivalent to the property that for every X3, the rightwards costructured arrow is final.

Русский

Точность Гитхарта эквивалентна тому, что для каждого X3 правая costructured стрелка финальна.

LaTeX

$$$w.GuitartExact \iff \forall X_3, (w.costructuredArrowRightwards X_3).Final$$$

Lean4

instance [hw : w.GuitartExact] {X₃ : C₃} (g : CostructuredArrow R (B.obj X₃)) :
    IsConnected (StructuredArrow g (w.costructuredArrowRightwards X₃)) :=
  by
  rw [guitartExact_iff_isConnected_rightwards] at hw
  apply hw

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