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