Nuprl Lemma : small_cubical_set_subtype
small_cubical_set{j:l} ⊆r CubicalSet{j}
Proof
Definitions occuring in Statement : 
small_cubical_set: SmallCubicalSet
, 
cubical_set: CubicalSet
, 
subtype_rel: A ⊆r B
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
small_cubical_set: SmallCubicalSet
, 
cubical_set: CubicalSet
Lemmas referenced : 
small_ps_context_subtype, 
cube-cat_wf
Rules used in proof : 
cut, 
introduction, 
extract_by_obid, 
sqequalHypSubstitution, 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isectElimination, 
thin, 
hypothesis, 
sqequalRule
Latex:
small\_cubical\_set\{j:l\}  \msubseteq{}r  CubicalSet\{j\}
Date html generated:
2020_05_20-PM-01_38_28
Last ObjectModification:
2020_04_03-PM-03_39_43
Theory : cubical!type!theory
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