Nuprl Lemma : universe-term_wf
∀[G:j⊢]. (t𝕌 ∈ {G ⊢ _:c𝕌'})
Proof
Definitions occuring in Statement :
universe-term: t𝕌,
cubical-universe: c𝕌,
cubical-term: {X ⊢ _:A},
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
universe-term: t𝕌,
member: t ∈ T,
universe-encode: encode(T;cT)
Lemmas referenced :
universe-encode_wf,
cubical-universe_wf,
univ-comp_wf,
cubical_set_wf,
csm-cubical-universe,
csm-univ-comp
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
cut,
thin,
instantiate,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
hypothesis,
universeIsType,
Error :memTop,
sqequalRule
Latex:
\mforall{}[G:j\mvdash{}]. (t\mBbbU{} \mmember{} \{G \mvdash{} \_:c\mBbbU{}'\})
Date html generated:
2020_05_20-PM-07_24_50
Last ObjectModification:
2020_04_25-PM-10_05_31
Theory : cubical!type!theory
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