FTH0098canonicalv1psh_countable_objects (theorem)
/-- [I.P26] PSh(Cat_τ) is countable because Cat_τ has countable objects and at most one morphism between each pair (thin). The set of presheaves is indexed by functions TauIdx → Bool, which is uncountable as a set but countably generated (each presheaf is determined by a countable family of values). -/
Formalization
Identifiers
Aliases & legacy IDs
psh_countable_objectspsh-countable-objectsTauLib.BookI.Topos.LimitsSites::psh_countable_objectsRelease lines
corpus_v2corpus_v3_workingVersion & History
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