Nuprl Lemma : formal-cube_wf
∀[I:fset(ℕ)]. formal-cube(I) ⊢
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
, 
cube-cat: CubeCat
, 
all: ∀x:A. B[x]
, 
cubical_set: CubicalSet
, 
formal-cube: formal-cube(I)
, 
Yoneda: Yoneda(I)
Lemmas referenced : 
Yoneda_wf, 
cube-cat_wf, 
cat_ob_pair_lemma, 
cat_arrow_triple_lemma, 
cat_comp_tuple_lemma
Rules used in proof : 
cut, 
introduction, 
extract_by_obid, 
sqequalHypSubstitution, 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isectElimination, 
thin, 
hypothesis, 
sqequalRule, 
dependent_functionElimination, 
Error :memTop
Latex:
\mforall{}[I:fset(\mBbbN{})].  formal-cube(I)  \mvdash{}
Date html generated:
2020_05_20-PM-01_40_04
Last ObjectModification:
2020_04_03-PM-03_48_26
Theory : cubical!type!theory
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