Nuprl Lemma : istype-cubical-term
∀[X:j⊢]. ∀[A:{X ⊢ _}]. istype({X ⊢ _:A})
Proof
Definitions occuring in Statement :
cubical-term: {X ⊢ _:A},
cubical-type: {X ⊢ _},
cubical_set: CubicalSet,
istype: istype(T),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a
Lemmas referenced :
cubical-term-eqcd,
cubical-type_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
universeIsType,
cut,
hypothesisEquality,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
equalityTransitivity,
hypothesis,
equalitySymmetry,
independent_isectElimination,
instantiate
Latex:
\mforall{}[X:j\mvdash{}]. \mforall{}[A:\{X \mvdash{} \_\}]. istype(\{X \mvdash{} \_:A\})
Date html generated:
2020_05_20-PM-01_51_29
Last ObjectModification:
2020_04_19-AM-11_45_36
Theory : cubical!type!theory
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