Nuprl Lemma : list-eo-E
∀[L:Top List]. ∀[i:Top]. ∀n:ℕ||L||. (n ∈ E)
Proof
Definitions occuring in Statement :
list-eo: list-eo(L;i),
es-E: E,
length: ||as||,
list: T List,
int_seg: {i..j-},
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
member: t ∈ T,
natural_number: $n
Lemmas :
list-eo-E-sq,
subtype_rel_nested_set,
lelt_wf,
length_wf,
top_wf,
le_wf,
assert_wf,
lt_int_wf,
subtype_rel_sets,
assert_of_lt_int,
int_seg_wf,
list_wf
Latex:
\mforall{}[L:Top List]. \mforall{}[i:Top]. \mforall{}n:\mBbbN{}||L||. (n \mmember{} E)
Date html generated:
2015_07_21-PM-04_30_07
Last ObjectModification:
2015_01_27-PM-05_10_41
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