Nuprl Lemma : subset-context-1
∀[Gamma:j⊢]. sub_cubical_set{j:l}(Gamma, 1(𝔽); Gamma)
Proof
Definitions occuring in Statement :
context-subset: Gamma, phi,
face-1: 1(𝔽),
sub_cubical_set: Y ⊆ X,
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
sub_cubical_set: Y ⊆ X
Lemmas referenced :
context-subset-is-subset,
face-1_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
thin,
instantiate,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
hypothesis,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
\mforall{}[Gamma:j\mvdash{}]. sub\_cubical\_set\{j:l\}(Gamma, 1(\mBbbF{}); Gamma)
Date html generated:
2020_05_20-PM-02_53_43
Last ObjectModification:
2020_04_04-PM-05_08_10
Theory : cubical!type!theory
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