Nuprl Lemma : constant-cubical-type_wf
∀[X:SmallCubicalSet]. ∀[Gamma:j⊢]. Gamma ⊢ (X)
Proof
Definitions occuring in Statement :
constant-cubical-type: (X),
cubical-type: {X ⊢ _},
small_cubical_set: SmallCubicalSet,
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
small_cubical_set: SmallCubicalSet,
cubical_set: CubicalSet,
constant-cubical-type: (X),
constant-presheaf-type: (X),
I_cube: A(I),
I_set: A(I),
cube-set-restriction: f(s),
psc-restriction: f(s)
Lemmas referenced :
constant-presheaf-type_wf,
cube-cat_wf,
cubical-type-sq-presheaf-type
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
hypothesis,
sqequalRule,
Error :memTop
Latex:
\mforall{}[X:SmallCubicalSet]. \mforall{}[Gamma:j\mvdash{}]. Gamma \mvdash{} (X)
Date html generated:
2020_05_20-PM-02_32_49
Last ObjectModification:
2020_04_03-PM-08_43_10
Theory : cubical!type!theory
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