Nuprl Lemma : context-ok_wf
∀[ctxt:?CubicalContext]. (context-ok(ctxt) ∈ ℙ{i''''})
Proof
Definitions occuring in Statement :
context-ok: context-ok(ctxt)
,
cubical-context: ?CubicalContext
,
uall: ∀[x:A]. B[x]
,
prop: ℙ
,
member: t ∈ T
Definitions unfolded in proof :
context-ok: context-ok(ctxt)
,
cubical-context: ?CubicalContext
,
uall: ∀[x:A]. B[x]
,
member: t ∈ T
Lemmas referenced :
cubical_context_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation_alt,
introduction,
cut,
thin,
instantiate,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesis,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
\mforall{}[ctxt:?CubicalContext]. (context-ok(ctxt) \mmember{} \mBbbP{}\{i''''\})
Date html generated:
2020_05_20-PM-08_05_41
Last ObjectModification:
2020_03_18-AM-10_39_24
Theory : cubical!type!theory
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