{ ... }
{ Proof }
Definitions occuring in Statement : 
std-initial: std-initial(S), 
run-initialization: run-initialization(r;G), 
pRunType: pRunType(T.M[T]), 
System: System(P.M[P]), 
uimplies: b supposing a, 
uall:
[x:A]. B[x], 
so_apply: x[s], 
pi2: snd(t), 
function: x:A 
 B[x], 
universe: Type
Definitions : 
implies: P 
 Q, 
real:
, 
grp_car: |g|, 
intensional-universe: IType, 
fpf: a:A fp-> B[a], 
subtype: S 
 T, 
es-E-interface: E(X), 
eclass: EClass(A[eo; e]), 
nat:
, 
lg-size: lg-size(g), 
natural_number: $n, 
lg-label: lg-label(g;x), 
pi1: fst(t), 
component: component(P.M[P]), 
pInTransit: pInTransit(P.M[P]), 
is-dag: is-dag(g), 
labeled-graph: LabeledGraph(T), 
top: Top, 
union: left + right, 
strong-subtype: strong-subtype(A;B), 
set: {x:A| B[x]} , 
le: A 
 B, 
ge: i 
 j , 
not:
A, 
and: P 
 Q, 
uiff: uiff(P;Q), 
subtype_rel: A 
r B, 
pi2: snd(t), 
axiom: Ax, 
runEvents: runEvents(r), 
int_seg: {i..j
}, 
less_than: a < b, 
run-initialization: run-initialization(r;G), 
pair: <a, b>, 
int:
, 
lg-all:
x
G.P[x], 
pRunType: pRunType(T.M[T]), 
ldag: LabeledDAG(T), 
list: type List, 
product: x:A 
 B[x], 
prop:
, 
std-initial: std-initial(S), 
uimplies: b supposing a, 
apply: f a, 
so_apply: x[s], 
lambda:
x.A[x], 
isect:
x:A. B[x], 
uall:
[x:A]. B[x], 
so_lambda: 
x.t[x], 
universe: Type, 
equal: s = t, 
function: x:A 
 B[x], 
member: t 
 T, 
System: System(P.M[P]), 
all:
x:A. B[x], 
MaAuto: Error :MaAuto, 
CollapseTHEN: Error :CollapseTHEN, 
tactic: Error :tactic, 
minus: -n, 
decide: case b of inl(x) => s[x] | inr(y) => t[y], 
ifthenelse: if b then t else f fi , 
assert:
b, 
false: False, 
lelt: i 
 j < k, 
D: Error :D, 
CollapseTHENA: Error :CollapseTHENA, 
Auto: Error :Auto
Lemmas : 
pi2_wf, 
component_wf, 
ldag_wf, 
int_seg_wf, 
runEvents_wf, 
run-initialization_wf, 
pRunType_wf, 
std-initial_wf, 
System_wf, 
member_wf, 
lg-size_wf, 
nat_wf, 
subtype_rel_wf, 
intensional-universe_wf, 
pInTransit_wf, 
lg-size_wf_dag
\mforall{}[M:Type  {}\mrightarrow{}  Type].  \mforall{}[S:System(P.M[P])].
    \mforall{}[r:pRunType(P.M[P])].  run-initialization(r;snd(S))  supposing  std-initial(S)
Date html generated:
2011_08_17-PM-03_40_32
Last ObjectModification:
2011_06_18-AM-11_22_07
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