Nuprl Lemma : ctt-term-term_wf
∀[X:⊢''']. ∀[t:cttTerm(X)]. (term(t) ∈ {X ⊢ _:type(t)})
Proof
Definitions occuring in Statement :
ctt-term-term: term(t),
ctt-term-type: type(t),
ctt-term-meaning: cttTerm(X),
cubical-term: {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,
ctt-term-meaning: cttTerm(X),
ctt-term-term: term(t),
ctt-term-type: type(t),
pi2: snd(t),
pi1: fst(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)]. (term(t) \mmember{} \{X \mvdash{} \_:type(t)\})
Date html generated:
2020_05_20-PM-07_52_46
Last ObjectModification:
2020_05_05-PM-01_38_29
Theory : cubical!type!theory
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