locallySmall — Mathlib

English

If S: T → T' and X ∈ T with LocallySmall B, then CostructuredArrow S X is LocallySmall.

Русский

Если S: T → T' и X ∈ T, для B локально малая, то CostructuredArrow S X локально малая.

LaTeX

$$$\\\\operatorname{LocallySmall}(\\\\operatorname{CostructuredArrow} S X)$$$

Lean4

instance locallySmall (L : A ⥤ T) (R : B ⥤ T) [LocallySmall.{w} A] [LocallySmall.{w} B] : LocallySmall.{w} (Comma L R)
    where hom_small X Y := small_of_injective.{w} (f := fun g ↦ (⟨g.left, g.right⟩ : _ × _)) (fun _ _ _ ↦ by aesop)

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