Nuprl Lemma : representable-cube-set_wf
representable-cube-set() ∈ 𝕌{3}
Proof
Definitions occuring in Statement :
representable-cube-set: representable-cube-set(),
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
representable-cube-set: representable-cube-set(),
representable-psc: representable-psc(C),
cubical_set: CubicalSet,
cube-cat: CubeCat,
all: ∀x:A. B[x],
top: Top,
formal-cube: formal-cube(I),
Yoneda: Yoneda(I)
Lemmas referenced :
representable-psc_wf,
cube-cat_wf,
cat_ob_pair_lemma,
cat_arrow_triple_lemma,
cat_comp_tuple_lemma
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
instantiate,
hypothesis,
sqequalRule,
dependent_functionElimination,
isect_memberEquality,
voidElimination,
voidEquality,
equalityTransitivity,
equalitySymmetry
Latex:
representable-cube-set() \mmember{} \mBbbU{}\{3\}
Date html generated:
2018_05_23-AM-08_34_21
Last ObjectModification:
2018_05_20-PM-05_47_36
Theory : cubical!type!theory
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