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
Definitions unfolded in proof :
prop: ℙ,
true: True,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
assert: ↑b,
btrue: tt,
mk-eo-record: mk-eo-record(E;dom;l;R;locless;pred;rank),
mk-eo: mk-eo(E;dom;l;R;locless;pred;rank),
bfalse: ff,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
top: Top,
member: t ∈ T,
all: ∀x:A. B[x],
mk-extended-eo: mk-extended-eo,
es-E: E,
ranked-eo: ranked-eo(L;rk)
Latex:
\mforall{}[L:Id {}\mrightarrow{} (Top List)]. \mforall{}[rk:Top]. \mforall{}[e:i:Id \mtimes{} \mBbbN{}||L i||]. (e \mmember{} E)
Date html generated:
2016_05_17-AM-08_42_13
Last ObjectModification:
2015_12_28-PM-10_46_29
Theory : event-ordering
Home
Index