id_hComp_heq — Mathlib

English

The HEq equality holds between hComp with a reflexive left unit and η: hComp (𝟙 (𝟙 a)) η is definitionally equal to η.

Русский

HEq-равенство между hComp с левым модулем и η: hComp (𝟙 (𝟙 a)) η равен по определению η.

LaTeX

$$$HEq( hComp(\\mathbf{1}(\\mathbf{1} a), η), η)$$$

Lean4

theorem id_hComp_heq {a b : CatEnrichedOrdinary C} {f f' : a ⟶ b} (η : f ⟶ f') : HEq (hComp (𝟙 (𝟙 a)) η) η := by
  simp [id_hComp]

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