Nuprl Lemma : unit-cube-I-cube
∀[I,L:Top]. (unit-cube(I)(L) ~ name-morph(I;L))
Proof
Definitions occuring in Statement :
unit-cube: unit-cube(I),
I-cube: X(I),
name-morph: name-morph(I;J),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
unit-cube: unit-cube(I),
I-cube: X(I),
functor-ob: functor-ob(F),
pi1: fst(t),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[I,L:Top]. (unit-cube(I)(L) \msim{} name-morph(I;L))
Date html generated:
2016_06_16-PM-05_37_50
Last ObjectModification:
2015_12_28-PM-04_36_59
Theory : cubical!sets
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