Nuprl Lemma : istype-cubical-universe-term
∀X:j⊢. istype({X ⊢ _:c𝕌})
Proof
Definitions occuring in Statement :
cubical-universe: c𝕌,
cubical-term: {X ⊢ _:A},
cubical_set: CubicalSet,
istype: istype(T),
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
implies: P ⇒ Q
Lemmas referenced :
cubical-term_wf-universe,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation_alt,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
hypothesisEquality,
equalityTransitivity,
hypothesis,
equalitySymmetry,
inhabitedIsType,
universeIsType,
equalityIstype,
independent_functionElimination,
instantiate
Latex:
\mforall{}X:j\mvdash{}. istype(\{X \mvdash{} \_:c\mBbbU{}\})
Date html generated:
2020_05_20-PM-07_07_16
Last ObjectModification:
2020_04_25-PM-01_28_51
Theory : cubical!type!theory
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