Nuprl Lemma : I_cube_wf
∀[A:j⊢]. ∀[I:fset(ℕ)]. (A(I) ∈ 𝕌{j'})
Proof
Definitions occuring in Statement :
I_cube: A(I),
cubical_set: CubicalSet,
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,
cubical_set: CubicalSet,
cube-cat: CubeCat,
all: ∀x:A. B[x],
I_cube: A(I),
I_set: A(I)
Lemmas referenced :
I_set_wf,
cube-cat_wf,
cat_ob_pair_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{}[A:j\mvdash{}]. \mforall{}[I:fset(\mBbbN{})]. (A(I) \mmember{} \mBbbU{}\{j'\})
Date html generated:
2020_05_20-PM-01_38_56
Last ObjectModification:
2020_04_03-PM-03_43_29
Theory : cubical!type!theory
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