Nuprl Lemma : cubical-it-unique
∀[X:j⊢]. ∀[t:{X ⊢ _:1}]. (t = * ∈ {X ⊢ _:1})
Proof
Definitions occuring in Statement :
cubical-it: *,
cubical-unit: 1,
cubical-term: {X ⊢ _:A},
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cubical_set: CubicalSet,
cubical-unit: 1,
presheaf-unit: 1,
discrete-cubical-type: discr(T),
discrete-presheaf-type: discr(T),
cubical-it: *,
presheaf-it: *,
discrete-cubical-term: discr(t),
discrete-presheaf-term: discr(t)
Lemmas referenced :
presheaf-it-unique,
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{}[X:j\mvdash{}]. \mforall{}[t:\{X \mvdash{} \_:1\}]. (t = *)
Date html generated:
2020_05_20-PM-02_32_40
Last ObjectModification:
2020_04_03-PM-08_42_59
Theory : cubical!type!theory
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