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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