sSup — Mathlib

English

Equality for smallCoproductDesc with a Sigma.desc expression.

Русский

Равенство smallCoproductDesc и выражения Sigma.desc.

LaTeX

$$Eq (Subobject.smallCoproductDesc s) (Limits.Sigma.desc fun j => ((equivShrink (Subobject A)).symm j).arrow)$$

Lean4

/-- When `[WellPowered C] [HasImages C] [HasCoproducts C]`,
`Subobject A` has arbitrary supremums. -/
def sSup {A : C} (s : Set (Subobject A)) : Subobject A :=
  Subobject.mk (image.ι (smallCoproductDesc s))

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