Nuprl Lemma : interval-type_wf
∀[Gamma:j⊢]. Gamma ⊢ 𝕀
Proof
Definitions occuring in Statement :
interval-type: 𝕀,
cubical-type: {X ⊢ _},
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
interval-type: 𝕀
Lemmas referenced :
constant-cubical-type_wf,
interval-presheaf_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType,
instantiate
Latex:
\mforall{}[Gamma:j\mvdash{}]. Gamma \mvdash{} \mBbbI{}
Date html generated:
2020_05_20-PM-02_35_36
Last ObjectModification:
2020_04_04-AM-09_54_06
Theory : cubical!type!theory
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