Nuprl Lemma : discrete-cube_wf
∀[A:𝕌{j}]. discrete-cube(A) j⊢
Proof
Definitions occuring in Statement :
discrete-cube: discrete-cube(A),
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cubical_set: CubicalSet,
discrete-cube: discrete-cube(A),
discrete-set: discrete-set(A)
Lemmas referenced :
discrete-set_wf,
cube-cat_wf
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
hypothesis,
sqequalRule
Latex:
\mforall{}[A:\mBbbU{}\{j\}]. discrete-cube(A) j\mvdash{}
Date html generated:
2020_05_20-PM-01_40_31
Last ObjectModification:
2020_04_03-PM-03_49_11
Theory : cubical!type!theory
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