Nuprl Lemma : fibrant-type_wf_formal-cube
∀[I:fset(ℕ)]. (FibrantType(formal-cube(I)) ∈ 𝕌')
Proof
Definitions occuring in Statement :
fibrant-type: FibrantType(X),
formal-cube: formal-cube(I),
fset: fset(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
guard: {T}
Lemmas referenced :
fibrant-type_wf,
formal-cube_wf1,
fset_wf,
nat_wf
Rules used in proof :
cut,
instantiate,
introduction,
extract_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
\mforall{}[I:fset(\mBbbN{})]. (FibrantType(formal-cube(I)) \mmember{} \mBbbU{}')
Date html generated:
2020_05_20-PM-05_19_56
Last ObjectModification:
2020_04_25-PM-00_10_48
Theory : cubical!type!theory
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