{ 
[pr:PropRule]
Meaning(pr) 
spec:EO' 
' 
{sys:InitSys|
assuming(env,r.reliable-env(env; r))
sys |= es.spec es}
supposing WF(fst(pr)) }
{ Proof }
Definitions occuring in Statement :
prop-rule-meaning: Meaning(pr),
prop-rule: PropRule,
cdv-wf: WF(dv),
std-l2m: std-l2m(),
std-n2m: std-n2m(),
strong-realizes: strong-realizes,
InitSys: InitSys,
Message: Message,
reliable-env: reliable-env(env; r),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: [x:A]. B[x],
prop: ,
pi1: fst(t),
member: t T,
set: {x:A| B[x]} ,
apply: f a,
function: x:A B[x],
product: x:A B[x]
Definitions :
implies: P 
Q,
strong-subtype: strong-subtype(A;B),
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
and: P 
Q,
uiff: uiff(P;Q),
fpf: a:A fp-> B[a],
subtype: S 
T,
subtype_rel: A r B,
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
pi2: snd(t),
ycomb: Y,
classderiv_ind: classderiv_ind,
axiom: Ax,
prop-rule-meaning: Meaning(pr),
apply: f a,
reliable-env: reliable-env(env; r),
std-l2m: std-l2m(),
std-n2m: std-n2m(),
strong-realizes: strong-realizes,
InitSys: InitSys,
set: {x:A| B[x]} ,
universe: Type,
Message: Message,
event-ordering+: EO+(Info),
void: Void,
top: Top,
pair: <a, b>,
classderiv: ClassDerivation,
isect: 
x:A. B[x],
uall: [x:A]. B[x],
all: x:A. B[x],
function: x:A B[x],
uimplies: b supposing a,
pi1: fst(t),
prop: ,
assert: 
b,
hd: hd(l),
product: x:A B[x],
equal: s = t,
prop-rule: PropRule,
member: t T,
cdv-wf: WF(dv),
tactic: Error :tactic,
exists: 
x:A. B[x],
list: type List,
rec: rec(x.A[x]),
record: record(x.T[x]),
eq_atom: eq_atom$n(x;y),
atom: Atom,
token: "$token",
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
record-select: r.x,
dep-isect: Error :dep-isect,
record+: record+,
event_ordering: EO,
lambda: x.A[x],
es-E: E,
eclass-program-type: eclass-program-type(prg),
defined-class: defined-class(prg),
eclass-program: eclass-program{i:l}(Info),
cdv-class-program: ClassProgram,
cdv-meaning: Meaning(dv),
spreadn: spread6,
spreadn: spread3,
limited-type: LimitedType,
name: Name,
so_apply: x[s],
baseclass: BaseClass(h;T),
es-propagation-rule: A f B@g,
Auto: Error :Auto,
CollapseTHEN: Error :CollapseTHEN,
Complete: Error :Complete,
Try: Error :Try,
D: Error :D,
CollapseTHENA: Error :CollapseTHENA,
AssertBY: Error :AssertBY,
RepeatFor: Error :RepeatFor,
RepUR: Error :RepUR,
list_ind: list_ind def,
intensional-universe: IType,
l_member: (x l),
length: ||as||,
false: False,
mData: mData,
bool: 
,
cdv-types: cdv-types(dv),
Id: Id,
union: left + right,
es-E-interface: E(X),
fpf-cap: f(x)?z,
true: True,
squash: 
T,
atom: Atom$n,
dataflow-program: DataflowProgram(A),
sq_type: SQType(T),
sqequal: s ~ t,
pMsg: pMsg(P.M[P]),
guard: {T},
df-program-type: df-program-type(dfp),
suptype: suptype(S; T),
eclass-program-flows: eclass-program-flows(p),
Component: Component,
prop-rule-realizer: prop-rule-realizer(pr;T;f;g;hdr),
mk-init-sys: mk-init-sys(Cs),
let: let,
InitialSystem: InitialSystem(P.M[P]),
sub-system: sub-system(P.M[P];S1;S2),
system-realizes: system-realizes,
system-strongly-realizes: system-strongly-realizes,
parameter: parm{i},
pRunType: pRunType(T.M[T]),
pEnvType: pEnvType(T.M[T]),
nat: 
,
RunType: RunType,
EnvType: EnvType,
label: ...$L... t,
lg-all: xG.P[x],
std-initial: std-initial(S)
Lemmas :
eclass_wf2,
defined-class_wf,
length_wf_nat,
EnvType_wf,
RunType_wf,
reliable-env_wf2,
nat_wf,
eclass-program-type_wf,
prop-rule-realizer-property,
reliable-env_wf,
system-strongly-realizes_wf,
system-realizes_wf,
sub-system_wf,
InitialSystem_wf,
mk-init-sys_wf,
df-program-type_wf,
eclass-program-flows_wf,
prop-rule-realizer_wf,
fpf-trivial-subtype-top,
true_wf,
squash_wf,
atom2_subtype_base,
list_subtype_base,
Id_wf,
product_subtype_base,
l_member_wf,
dataflow-program_wf,
fpf_wf,
set_subtype_base,
eclass-program_wf,
subtype_base_sq,
cdv-meaning-type,
top_wf,
intensional-universe_wf,
baseclass_wf,
name_wf,
mData_wf,
es-interface-top,
limited-type_wf,
pos_length3,
cdv-types_wf,
false_wf,
not_wf,
le_wf,
ge_wf,
assert_wf,
hd_wf,
es-propagation-rule_wf,
cdv-types-non-empty,
subtype_rel_wf,
event_ordering_wf,
subtype_rel_self,
es-E_wf,
eclass_wf,
cdv-class-program_wf,
cdv-meaning_wf,
event-ordering+_inc,
prop-rule_wf,
cdv-wf_wf,
pi1_wf_top,
classderiv_wf,
member_wf,
std-l2m_wf,
std-n2m_wf,
strong-realizes_wf,
InitSys_wf,
Message_wf,
event-ordering+_wf
\mforall{}[pr:PropRule]
Meaning(pr) \mmember{} spec:EO' {}\mrightarrow{} \mBbbP{}' \mtimes{} \{sys:InitSys|
assuming(env,r.reliable-env(env; r))
sys |= es.spec es\}
supposing WF(fst(pr))
Date html generated:
2011_08_17-PM-04_29_23
Last ObjectModification:
2010_11_12-PM-08_52_30
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