mk' — Mathlib

English

The constructor for Equivalence.CommShift: given a NatTrans.CommShift h, produce an Equivalence.CommShift A with the unit and counit data defined accordingly.

Русский

Конструктор для Equivalence.CommShift: при наличии NatTrans.CommShift h строится Equivalence.CommShift A с заданием единичной и контрогда единицы.

LaTeX

$$Given $h$, define $E.CommShift A$ by supplying $commShift_unit := h$ and $commShift_counit := Adjunction.CommShift.mk' E.toAdjunction A h$.$$

Lean4

/-- Constructor for `Equivalence.CommShift`. -/
theorem mk' (h : NatTrans.CommShift E.unitIso.hom A) : E.CommShift A
    where
  commShift_unit := h
  commShift_counit := (Adjunction.CommShift.mk' E.toAdjunction A h).commShift_counit

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