Nuprl Lemma : ranked-eo-E
∀[L:Id ─→ (Top List)]. ∀[rk:Top]. ∀[e:i:Id × ℕ||L i||]. (e ∈ E)
Proof
Definitions occuring in Statement :
ranked-eo: ranked-eo(L;rk),
es-E: E,
Id: Id,
length: ||as||,
list: T List,
int_seg: {i..j-},
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
apply: f a,
function: x:A ─→ B[x],
product: x:A × B[x],
natural_number: $n
Lemmas :
rec_select_update_lemma,
true_wf,
Id_wf,
int_seg_wf,
length_wf,
top_wf,
list_wf
Latex:
\mforall{}[L:Id {}\mrightarrow{} (Top List)]. \mforall{}[rk:Top]. \mforall{}[e:i:Id \mtimes{} \mBbbN{}||L i||]. (e \mmember{} E)
Date html generated:
2015_07_21-PM-04_43_29
Last ObjectModification:
2015_01_27-PM-05_00_55
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