Nuprl Lemma : Yoneda_wf
∀[C:SmallCategory]. ∀[I:cat-ob(C)]. (Yoneda(I) ∈ __⊢)
Proof
Definitions occuring in Statement :
Yoneda: Yoneda(I),
ps_context: __⊢,
uall: ∀[x:A]. B[x],
member: t ∈ T,
cat-ob: cat-ob(C),
small-category: SmallCategory
Definitions unfolded in proof :
ps_context: __⊢,
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B
Lemmas referenced :
Yoneda-is-rep-pre-sheaf,
rep-pre-sheaf_wf,
small-category-subtype,
cat-ob_wf,
small-category_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
Error :memTop,
hypothesis,
isect_memberFormation_alt,
instantiate,
hypothesisEquality,
applyEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType,
isect_memberEquality_alt,
isectIsTypeImplies,
inhabitedIsType
Latex:
\mforall{}[C:SmallCategory]. \mforall{}[I:cat-ob(C)]. (Yoneda(I) \mmember{} \_\_\mvdash{})
Date html generated:
2020_05_20-PM-01_23_39
Last ObjectModification:
2020_04_03-AM-11_51_25
Theory : presheaf!models!of!type!theory
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