Registry · Theorem I.T24 tau-effective formalized

I.T24 — Grothendieck Topos

PSh(Cat_tau) is a Grothendieck topos. Standard result: for any small category C, PSh(C) is a Grothendieck topos. Cat_tau is small (countable objects, thin morphisms). Verified via terminal object, products, and identity laws.

Book I Part 14 Ch. 55

Dependency Graph

Depends on (3)

Depended on by (2)

Lean Formalization

Module: TauLib.BookI.Topos.LimitsSites

Symbol: Tau.Topos.psh_has_terminal