fintypeCatAsCofan — Mathlib

English

Equality of the explicit construction for fintypeCatAsCofan with its universal property in Profinite.

Русский

Равенство явной конструкцией fintypeCatAsCofan и его универсального свойства в Profinite.

LaTeX

$$$\\text{fintypeCatAsCofan } X = \\text{Cofan.mk } X (\\dots)$$$

Lean4

/-- A finite set as a coproduct cocone in `LightProfinite` over itself. -/
def fintypeCatAsCofan (X : LightProfinite) : Cofan (fun (_ : X) ↦ (LightProfinite.of (PUnit.{u + 1}))) :=
  Cofan.mk X (fun x ↦ TopCat.ofHom (ContinuousMap.const _ x))

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