Nuprl Lemma : context-map-1
∀[I:fset(ℕ)]. (<1> = 1(formal-cube(I)) ∈ formal-cube(I) ⟶ formal-cube(I))
Proof
Definitions occuring in Statement :
csm-id: 1(X),
context-map: <rho>,
cube_set_map: A ⟶ B,
formal-cube: formal-cube(I),
nh-id: 1,
fset: fset(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cube-cat: CubeCat,
all: ∀x:A. B[x],
cube_set_map: A ⟶ B,
formal-cube: formal-cube(I),
Yoneda: Yoneda(I),
context-map: <rho>,
ps-context-map: <rho>,
csm-id: 1(X),
pscm-id: 1(X)
Lemmas referenced :
ps-context-map-1,
cube-cat_wf,
cat_ob_pair_lemma,
cat_arrow_triple_lemma,
cat_comp_tuple_lemma,
cat_id_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{})]. (ə> = 1(formal-cube(I)))
Date html generated:
2020_05_20-PM-01_42_08
Last ObjectModification:
2020_04_03-PM-04_00_13
Theory : cubical!type!theory
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