Nuprl Lemma : ctt_meaning_wf
∀[ctxt:?CubicalContext]. ∀[t:CttTerm]. ([[ctxt;t]] ∈ 𝕌{i'''''})
Proof
Definitions occuring in Statement :
ctt_meaning: [[ctxt;t]],
ctt-term: CttTerm,
cubical-context: ?CubicalContext,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ctt_meaning: [[ctxt;t]],
uimplies: b supposing a,
prop: ℙ
Lemmas referenced :
context-ok_wf,
ctt-meaning-type_wf,
context-set_wf,
ctt-term_wf,
cubical-context_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
isectEquality,
cumulativity,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
instantiate,
independent_isectElimination,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType,
isect_memberEquality_alt,
isectIsTypeImplies,
inhabitedIsType
Latex:
\mforall{}[ctxt:?CubicalContext]. \mforall{}[t:CttTerm]. ([[ctxt;t]] \mmember{} \mBbbU{}\{i'''''\})
Date html generated:
2020_05_21-AM-10_33_27
Last ObjectModification:
2020_03_18-PM-02_47_40
Theory : cubical!type!theory
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