Nuprl Lemma : formal-cube_wf1
∀[I:fset(ℕ)]. formal-cube(I) j⊢
Proof
Definitions occuring in Statement :
formal-cube: formal-cube(I),
cubical_set: CubicalSet,
fset: fset(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
formal-cube_wf,
fset_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
thin,
instantiate,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
hypothesis,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
\mforall{}[I:fset(\mBbbN{})]. formal-cube(I) j\mvdash{}
Date html generated:
2020_05_20-PM-01_40_11
Last ObjectModification:
2020_04_17-PM-00_47_23
Theory : cubical!type!theory
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