Nuprl Lemma : cube-context-adjoin_wf_universe
∀[Gamma:⊢]. Gamma.c𝕌 ⊢
Proof
Definitions occuring in Statement :
cubical-universe: c𝕌,
cube-context-adjoin: X.A,
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
cube-context-adjoin-wf,
cubical-universe_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
cut,
thin,
instantiate,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
hypothesis,
universeIsType
Latex:
\mforall{}[Gamma:\mvdash{}]. Gamma.c\mBbbU{} \mvdash{}
Date html generated:
2020_05_20-PM-07_07_45
Last ObjectModification:
2020_04_25-PM-00_25_17
Theory : cubical!type!theory
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