Nuprl Lemma : discrete-cubical-term_wf
∀[T:Type]. ∀[t:T]. ∀[X:j⊢]. (discr(t) ∈ {X ⊢ _:discr(T)})
Proof
Definitions occuring in Statement :
discrete-cubical-term: discr(t),
discrete-cubical-type: discr(T),
cubical-term: {X ⊢ _:A},
cubical_set: CubicalSet,
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,
discrete-cubical-type: discr(T),
discrete-presheaf-type: discr(T),
discrete-cubical-term: discr(t),
discrete-presheaf-term: discr(t)
Lemmas referenced :
discrete-presheaf-term_wf,
cube-cat_wf,
cubical-term-sq-presheaf-term
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
hypothesis,
sqequalRule,
Error :memTop
Latex:
\mforall{}[T:Type]. \mforall{}[t:T]. \mforall{}[X:j\mvdash{}]. (discr(t) \mmember{} \{X \mvdash{} \_:discr(T)\})
Date html generated:
2020_05_20-PM-02_31_20
Last ObjectModification:
2020_04_03-PM-08_41_40
Theory : cubical!type!theory
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