Nuprl Lemma : face-or-list_wf
∀[Gamma:j⊢]. ∀[L:{Gamma ⊢ _:𝔽} List]. (\/(L) ∈ {Gamma ⊢ _:𝔽})
Proof
Definitions occuring in Statement :
face-or-list: \/(L),
face-type: 𝔽,
cubical-term: {X ⊢ _:A},
cubical_set: CubicalSet,
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
face-or-list: \/(L)
Lemmas referenced :
reduce_wf,
cubical-term_wf,
face-type_wf,
face-or_wf,
face-0_wf,
list_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
thin,
instantiate,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
hypothesis,
lambdaEquality_alt,
inhabitedIsType,
universeIsType,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality_alt,
isectIsTypeImplies
Latex:
\mforall{}[Gamma:j\mvdash{}]. \mforall{}[L:\{Gamma \mvdash{} \_:\mBbbF{}\} List]. (\mbackslash{}/(L) \mmember{} \{Gamma \mvdash{} \_:\mBbbF{}\})
Date html generated:
2020_05_20-PM-02_42_17
Last ObjectModification:
2020_04_04-PM-04_50_50
Theory : cubical!type!theory
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