Nuprl Lemma : formal-cube_wf

∀[I:fset(ℕ)]. formal-cube(I) ⊢


Proof




Definitions occuring in Statement :  formal-cube: formal-cube(I),  cubical_set: CubicalSet,  fset: fset(T),  nat: ℕ,  uall: ∀[x:A]. B[x],  member: t ∈ T
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  cube-cat: CubeCat,  all: ∀x:A. B[x],  cubical_set: CubicalSet,  formal-cube: formal-cube(I),  Yoneda: Yoneda(I)
Lemmas referenced :  Yoneda_wf,  cube-cat_wf,  cat_ob_pair_lemma,  cat_arrow_triple_lemma,  cat_comp_tuple_lemma
Rules used in proof :  cut,  introduction,  extract_by_obid,  sqequalHypSubstitution,  sqequalSubstitution,  sqequalTransitivity,  computationStep,  sqequalReflexivity,  isectElimination,  thin,  hypothesis,  sqequalRule,  dependent_functionElimination,  Error :memTop

Latex:
\mforall{}[I:fset(\mBbbN{})].  formal-cube(I)  \mvdash{}



Date html generated: 2020_05_20-PM-01_40_04
Last ObjectModification: 2020_04_03-PM-03_48_26

Theory : cubical!type!theory


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