Nuprl Lemma : cubical-universe_wf
∀[X:j⊢]. X ⊢' c𝕌
Proof
Definitions occuring in Statement :
cubical-universe: c𝕌,
cubical-type: {X ⊢ _},
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cubical-universe: c𝕌
Lemmas referenced :
closed-type-to-type_wf,
closed-cubical-universe_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
thin,
instantiate,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesis,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
\mforall{}[X:j\mvdash{}]. X \mvdash{}' c\mBbbU{}
Date html generated:
2020_05_20-PM-07_06_30
Last ObjectModification:
2020_04_25-PM-00_20_54
Theory : cubical!type!theory
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