Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005360FTH0098canonicalv1

psh_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

lean_axiom_freesorries: 0project axioms: 0
  • ModuleTauLib.BookI.Topos.LimitsSites
  • Declarationpsh_countable_objects
  • Lean toolchainleanprover/lean4:v4.x.x

Identifiers

  • Corpus ID cid005360
  • Primary alias FTH0098
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

psh_countable_objectspsh-countable-objectsTauLib.BookI.Topos.LimitsSites::psh_countable_objects

Release lines

corpus_v2corpus_v3_working

Version & History

  • v1 · 2026-05-10 imported from v2 taulib declarations

Status disclaimer

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