Nuprl Lemma : test-select-nil
[][33] ~ ⊥
Proof
Definitions occuring in Statement :
select: L[n]
,
nil: []
,
bottom: ⊥
,
natural_number: $n
,
sqequal: s ~ t
Definitions unfolded in proof :
select: L[n]
,
uall: ∀[x:A]. B[x]
,
member: t ∈ T
,
uimplies: b supposing a
,
all: ∀x:A. B[x]
,
nil: []
,
it: ⋅
,
so_lambda: λ2x y.t[x; y]
,
top: Top
,
so_apply: x[s1;s2]
Lemmas referenced :
base_wf,
stuck-spread
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
baseClosed,
independent_isectElimination,
lambdaFormation,
hypothesis,
isect_memberEquality,
voidElimination,
voidEquality
Latex:
[][33] \msim{} \mbot{}
Date html generated:
2016_05_14-AM-06_35_39
Last ObjectModification:
2016_01_06-PM-08_35_15
Theory : list_0
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