coreRightUnitor — Mathlib

English

Similarly, the core-right unitor aligns with the standard right unitor through cores and whiskering: F.rightUnitor.core = F.coreComp (𝟭 D) ≪≫ isoWhiskerLeft _ (Functor.coreId D) ≪≫ F.core.rightUnitor.

Русский

Аналогично, ядро справа выравнивается с правым унитором через ядра и whisker: …

LaTeX

$$$ F.rightUnitor.core = F.\\mathrm{coreComp}(\\mathbf{1}_D) \\;\\ll≫\\; \\mathrm{isoWhiskerLeft} _ (\\mathrm{Functor.coreId}\; D) \\;\\ll≫\\; F.\\mathrm{core.rightUnitor} $$$

Lean4

theorem coreRightUnitor {F : C ⥤ D} :
    F.rightUnitor.core = (F).coreComp (𝟭 D) ≪≫ isoWhiskerLeft _ (Functor.coreId D) ≪≫ F.core.rightUnitor := by cat_disch

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