FTH0094canonicalv1yoneda_thin (theorem)
/-- [I.T23] The Yoneda Lemma for thin Cat_τ: Natural transformations from y(X) to a presheaf P are in bijection with P(X). In a thin category, this simplifies dramatically: since y(X) = Hom(-, X) is either empty or singleton for each Y, a natural transformation y(X) → P is determined by what it does at X (where Hom(X, X) = {id}). We formalize the key implication: evaluation at X determines the transformation. -/
Formalization
Identifiers
Aliases & legacy IDs
yoneda_thinyoneda-thinTauLib.BookI.Topos.Functors::yoneda_thinRelease lines
corpus_v2corpus_v3_workingVersion & History
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