ofHom_comp — Mathlib

English

The ofHom of the identity equals the category id onof the bundle, i.e., is equal to the identity morphism.

Русский

Сведение ofHom от идентичности равно идентичности в категории над упаковкой.

LaTeX

$$ofHom (BoundedLatticeHom.id X) = 𝟙 (of X)$$

Lean4

@[simp]
theorem ofHom_comp {X Y Z : Type u} [DistribLattice X] [BoundedOrder X] [DistribLattice Y] [BoundedOrder Y]
    [DistribLattice Z] [BoundedOrder Z] (f : BoundedLatticeHom X Y) (g : BoundedLatticeHom Y Z) :
    ofHom (g.comp f) = ofHom f ≫ ofHom g :=
  rfl

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