Nuprl Lemma : cubical-lambda-subset2
∀[X,A,phi,b:Top]. ((λb) ~ (λb))
Proof
Definitions occuring in Statement :
context-subset: Gamma, phi,
cubical-lambda: (λb),
cube-context-adjoin: X.A,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
cube-context-adjoin: X.A,
cubical-lambda: (λb),
context-subset: Gamma, phi,
all: ∀x:A. B[x],
member: t ∈ T,
top: Top
Lemmas referenced :
cube_set_restriction_pair_lemma,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
sqequalRule,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
because_Cache
Latex:
\mforall{}[X,A,phi,b:Top]. ((\mlambda{}b) \msim{} (\mlambda{}b))
Date html generated:
2017_01_10-AM-08_51_04
Last ObjectModification:
2017_01_04-AM-00_00_31
Theory : cubical!type!theory
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