Nuprl Lemma : cubes-id
∀[X:Top]. (cat-id(cubes(X)) ~ λ_.1)
Proof
Definitions occuring in Statement :
cubes: cubes(X),
nh-id: 1,
cat-id: cat-id(C),
uall: ∀[x:A]. B[x],
top: Top,
lambda: λx.A[x],
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cubes: cubes(X),
cube-cat: CubeCat,
all: ∀x:A. B[x],
top: Top
Lemmas referenced :
sets-id,
cube-cat_wf,
cat_id_tuple_lemma
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
hypothesis,
sqequalRule,
dependent_functionElimination,
isect_memberEquality,
voidElimination,
voidEquality
Latex:
\mforall{}[X:Top]. (cat-id(cubes(X)) \msim{} \mlambda{}$_{}$.1)
Date html generated:
2018_05_23-AM-08_33_18
Last ObjectModification:
2018_05_20-PM-05_46_24
Theory : cubical!type!theory
Home
Index