Nuprl Lemma : cube_set_map_wf
∀[A,B:j⊢]. (A j⟶ B ∈ 𝕌{j''})
Proof
Definitions occuring in Statement :
cube_set_map: A ⟶ B,
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,
cube_set_map: A ⟶ B
Lemmas referenced :
psc_map_wf,
cube-cat_wf,
cubical_set_wf
Rules used in proof :
cut,
instantiate,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
hypothesis,
isect_memberFormation_alt,
hypothesisEquality,
sqequalRule,
equalityTransitivity,
equalitySymmetry,
because_Cache,
universeIsType
Latex:
\mforall{}[A,B:j\mvdash{}]. (A j{}\mrightarrow{} B \mmember{} \mBbbU{}\{j''\})
Date html generated:
2020_05_20-PM-01_40_43
Last ObjectModification:
2020_04_06-PM-00_43_03
Theory : cubical!type!theory
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