Nuprl Lemma : ctt-term-type_wf
∀[X:⊢''']. ∀[t:cttTerm(X)]. (type(t) ∈ X ⊢level(t) )
Proof
Definitions occuring in Statement :
ctt-term-type: type(t),
ctt-term-level: level(t),
ctt-term-meaning: cttTerm(X),
ctt-level-type: {X ⊢lvl _},
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ctt-term-meaning: cttTerm(X),
ctt-term-type: type(t),
ctt-term-level: level(t),
pi1: fst(t),
pi2: snd(t)
Lemmas referenced :
ctt-term-meaning_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
cut,
sqequalHypSubstitution,
productElimination,
thin,
sqequalRule,
hypothesisEquality,
hypothesis,
universeIsType,
introduction,
extract_by_obid,
isectElimination,
instantiate
Latex:
\mforall{}[X:\mvdash{}''']. \mforall{}[t:cttTerm(X)]. (type(t) \mmember{} X \mvdash{}level(t) )
Date html generated:
2020_05_20-PM-07_51_27
Last ObjectModification:
2020_05_05-PM-01_13_14
Theory : cubical!type!theory
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