Nuprl Lemma : cubes_wf
∀[X:j⊢]. (cubes(X) ∈ small-category{[i | j']:l})
Proof
Definitions occuring in Statement :
cubes: cubes(X),
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T,
small-category: SmallCategory
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cubical_set: CubicalSet,
cubes: cubes(X)
Lemmas referenced :
sets_wf,
cube-cat_wf
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
hypothesis,
sqequalRule
Latex:
\mforall{}[X:j\mvdash{}]. (cubes(X) \mmember{} small-category\{[i | j']:l\})
Date html generated:
2020_05_20-PM-01_39_51
Last ObjectModification:
2020_04_03-PM-03_47_36
Theory : cubical!type!theory
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