Nuprl Lemma : csm-ap-id-type
∀[Gamma:j⊢]. ∀[A:{Gamma ⊢ _}]. ((A)1(Gamma) = A ∈ {Gamma ⊢ _})
Proof
Definitions occuring in Statement :
csm-ap-type: (AF)s,
cubical-type: {X ⊢ _},
csm-id: 1(X),
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,
csm-ap-type: (AF)s,
pscm-ap-type: (AF)s,
csm-ap: (s)x,
pscm-ap: (s)x,
csm-id: 1(X),
pscm-id: 1(X)
Lemmas referenced :
pscm-ap-id-type,
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{}[Gamma:j\mvdash{}]. \mforall{}[A:\{Gamma \mvdash{} \_\}]. ((A)1(Gamma) = A)
Date html generated:
2020_05_20-PM-01_49_40
Last ObjectModification:
2020_04_03-PM-08_27_06
Theory : cubical!type!theory
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