{ 
[env:E#Env]. 
[erl:E#Rule].  (compileE#Rule(env;erl) 
 CompilationResult) }
{ Proof }
Definitions occuring in Statement : 
compile-esharp-rule: compileE#Rule(env;erl), 
compilation-result: CompilationResult, 
esharp-rule: E#Rule, 
esharp-env: E#Env, 
uall:
[x:A]. B[x], 
member: t 
 T
Definitions : 
pRunType: pRunType(T.M[T]), 
pEnvType: pEnvType(T.M[T]), 
RunType: RunType, 
EnvType: EnvType, 
lambda:
x.A[x], 
ycomb: Y, 
so_lambda: so_lambda(x,y,z,w.t[x; y; z; w]), 
so_lambda: so_lambda(x,y,z.t[x; y; z]), 
so_lambda: so_lambda(x,y,z,w,v.t[x; y; z; w; v]), 
classderiv_ind: classderiv_ind, 
pi1: fst(t), 
prop-rule: PropRule, 
subtype: S 
 T, 
prop-rule-meaning: Meaning(pr), 
l_member: (x 
 l), 
void: Void, 
false: False, 
name: Name, 
limited-type: LimitedType, 
pair: <a, b>, 
natural_number: $n, 
cdv-types: cdv-types(dv), 
length: ||as||, 
implies: P 
 Q, 
classderiv: ClassDerivation, 
cdv-wf: WF(dv), 
int:
, 
listp: A List
, 
esharp-expr: esharp-expr(env;x), 
hd: hd(l), 
eclass: EClass(A[eo; e]), 
fpf: a:A fp-> B[a], 
strong-subtype: strong-subtype(A;B), 
assert:
b, 
rec: rec(x.A[x]), 
expression: Expression, 
list: type List, 
le: A 
 B, 
ge: i 
 j , 
not:
A, 
less_than: a < b, 
uimplies: b supposing a, 
and: P 
 Q, 
uiff: uiff(P;Q), 
subtype_rel: A 
r B, 
all:
x:A. B[x], 
so_lambda: 
x y.t[x; y], 
so_lambda: 
x.t[x], 
compilation-result: CompilationResult, 
product: x:A 
 B[x], 
function: x:A 
 B[x], 
event-ordering+: EO+(Info), 
Message: Message, 
prop:
, 
universe: Type, 
set: {x:A| B[x]} , 
InitSys: InitSys, 
strong-realizes: strong-realizes, 
std-n2m: std-n2m(), 
std-l2m: std-l2m(), 
reliable-env: reliable-env(env; r), 
apply: f a, 
compile-esharp-rule: compileE#Rule(env;erl), 
esharp-rule: E#Rule, 
esharp-env: E#Env, 
equal: s = t, 
axiom: Ax, 
member: t 
 T, 
uall:
[x:A]. B[x], 
isect:
x:A. B[x], 
Auto: Error :Auto, 
Complete: Error :Complete, 
Try: Error :Try, 
CollapseTHEN: Error :CollapseTHEN, 
D: Error :D, 
CollapseTHENA: Error :CollapseTHENA, 
RepeatFor: Error :RepeatFor, 
Unfold: Error :Unfold, 
tactic: Error :tactic, 
true: True, 
divides: b | a, 
assoced: a ~ b, 
set_leq: a 
 b, 
set_lt: a <p b, 
grp_lt: a < b, 
l_contains: A 
 B, 
reducible: reducible(a), 
prime: prime(a), 
l_exists: (
x
L. P[x]), 
l_all: (
x
L.P[x]), 
fun-connected: y is f*(x), 
qle: r 
 s, 
qless: r < s, 
q-rel: q-rel(r;x), 
i-finite: i-finite(I), 
i-closed: i-closed(I), 
p-outcome: Outcome, 
fset-member: a 
 s, 
f-subset: xs 
 ys, 
fset-closed: (s closed under fs), 
l_disjoint: l_disjoint(T;l1;l2), 
cs-not-completed: in state s, a has not completed inning i, 
cs-archived: by state s, a archived v in inning i, 
cs-passed: by state s, a passed inning i without archiving a value, 
cs-inning-committed: in state s, inning i has committed v, 
cs-inning-committable: in state s, inning i could commit v , 
cs-archive-blocked: in state s, ws' blocks ws from archiving v in inning i, 
cs-precondition: state s may consider v in inning i, 
es-causl: (e < e'), 
es-locl: (e <loc e'), 
es-le: e 
loc e' , 
es-causle: e c
 e', 
existse-before:
e<e'.P[e], 
existse-le:
e
e'.P[e], 
alle-lt:
e<e'.P[e], 
alle-le:
e
e'.P[e], 
alle-between1:
e
[e1,e2).P[e], 
existse-between1:
e
[e1,e2).P[e], 
alle-between2:
e
[e1,e2].P[e], 
existse-between2:
e
[e1,e2].P[e], 
existse-between3:
e
(e1,e2].P[e], 
es-fset-loc: i 
 locs(s), 
exists:
x:A. B[x], 
es-r-immediate-pred: es-r-immediate-pred(es;R;e';e), 
same-thread: same-thread(es;p;e;e'), 
collect-event: collect-event(es;X;n;v.num[v];L.P[L];e), 
cut-order: a 
(X;f) b, 
path-goes-thru: x-f*-y thru i, 
lg-edge: lg-edge(g;a;b), 
infix_ap: x f y, 
decidable: Dec(P), 
iff: P 

 Q, 
uni_sat: a = !x:T. Q[x], 
inv_funs: InvFuns(A;B;f;g), 
inject: Inj(A;B;f), 
eqfun_p: IsEqFun(T;eq), 
refl: Refl(T;x,y.E[x; y]), 
urefl: UniformlyRefl(T;x,y.E[x; y]), 
sym: Sym(T;x,y.E[x; y]), 
usym: UniformlySym(T;x,y.E[x; y]), 
trans: Trans(T;x,y.E[x; y]), 
utrans: UniformlyTrans(T;x,y.E[x; y]), 
anti_sym: AntiSym(T;x,y.R[x; y]), 
uanti_sym: UniformlyAntiSym(T;x,y.R[x; y]), 
connex: Connex(T;x,y.R[x; y]), 
uconnex: uconnex(T; x,y.R[x; y]), 
coprime: CoPrime(a,b), 
ident: Ident(T;op;id), 
assoc: Assoc(T;op), 
comm: Comm(T;op), 
inverse: Inverse(T;op;id;inv), 
bilinear: BiLinear(T;pl;tm), 
bilinear_p: IsBilinear(A;B;C;+a;+b;+c;f), 
action_p: IsAction(A;x;e;S;f), 
dist_1op_2op_lr: Dist1op2opLR(A;1op;2op), 
fun_thru_1op: fun_thru_1op(A;B;opa;opb;f), 
fun_thru_2op: FunThru2op(A;B;opa;opb;f), 
cancel: Cancel(T;S;op), 
monot: monot(T;x,y.R[x; y];f), 
monoid_p: IsMonoid(T;op;id), 
group_p: IsGroup(T;op;id;inv), 
monoid_hom_p: IsMonHom{M1,M2}(f), 
grp_leq: a 
 b, 
integ_dom_p: IsIntegDom(r), 
prime_ideal_p: IsPrimeIdeal(R;P), 
no_repeats: no_repeats(T;l), 
value-type: value-type(T), 
is_list_splitting: is_list_splitting(T;L;LL;L2;f), 
is_accum_splitting: is_accum_splitting(T;A;L;LL;L2;f;g;x), 
req: x = y, 
rnonneg: rnonneg(r), 
rleq: x 
 y, 
i-member: r 
 I, 
partitions: partitions(I;p), 
modulus-of-ccontinuity: modulus-of-ccontinuity(omega;I;f), 
fpf-sub: f 
 g, 
squash:
T, 
sq_stable: SqStable(P), 
add: n + m, 
tl: tl(l), 
cons: [car / cdr], 
nil: [], 
decide: case b of inl(x) => s[x] | inr(y) => t[y], 
ifthenelse: if b then t else f fi , 
es-E-interface: E(X), 
cand: A c
 B, 
Id: Id, 
bool:
, 
pi2: snd(t), 
list_ind: list_ind def, 
intensional-universe: IType, 
nat:
, 
limited-type-level: limited-type-level{i:l}(n;T), 
atom: Atom$n, 
atom: Atom, 
base-deriv: BaseDef, 
top: Top, 
unit: Unit, 
union: left + right, 
base: Base, 
sq_type: SQType(T), 
sqequal: s ~ t, 
suptype: suptype(S; T), 
fpf-cap: f(x)?z, 
deq: EqDecider(T), 
ma-state: State(ds), 
class-program: ClassProgram(T), 
tag-by: z
T, 
rev_implies: P 
 Q, 
or: P 
 Q, 
ldag: LabeledDAG(T), 
labeled-graph: LabeledGraph(T), 
record+: record+, 
record: record(x.T[x]), 
fset: FSet{T}, 
isect2: T1 
 T2, 
b-union: A 
 B, 
bag: bag(T), 
nequal: a 
 b 
 T , 
rationals:
Lemmas : 
cdv-types-non-empty, 
intensional-universe_wf2, 
pos_length, 
subtype_rel_self, 
length_wf_nat, 
union_subtype_base, 
base-deriv_wf, 
top_wf, 
unit_wf, 
base_wf, 
rec_subtype_base, 
subtype_base_sq, 
product_subtype_base, 
unit_subtype_base, 
intensional-universe_subtype_base, 
set_subtype_base, 
intensional-universe_wf, 
nat_wf, 
limited-type-level_wf, 
atom2_subtype_base, 
list_subtype_base, 
atom_subtype_base, 
true_wf, 
squash_wf, 
name_wf, 
limited-type_wf, 
bool_wf, 
Id_wf, 
assert_wf, 
pi1_wf, 
listp_properties, 
sq_stable_from_decidable, 
decidable__le, 
false_wf, 
not_wf, 
le_wf, 
ge_wf, 
subtype_rel_wf, 
listp_wf, 
classderiv_wf, 
cdv-wf_wf, 
member_wf, 
hd_wf, 
cdv-types_wf, 
event-ordering+_wf, 
Message_wf, 
InitSys_wf, 
strong-realizes_wf, 
std-n2m_wf, 
std-l2m_wf, 
length_wf1, 
esharp-expr_wf, 
esharp-env_wf, 
esharp-rule_wf, 
pos_length3, 
prop-rule-meaning_wf, 
prop-rule_wf, 
EnvType_wf, 
RunType_wf, 
reliable-env_wf2
\mforall{}[env:E\#Env].  \mforall{}[erl:E\#Rule].    (compileE\#Rule(env;erl)  \mmember{}  CompilationResult)
Date html generated:
2011_08_17-PM-04_38_02
Last ObjectModification:
2011_06_18-AM-11_48_52
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