{ 
[l_comm:Id]. [piD:PiDataVal()]. [cSt:Comm-state()].
Comm-next-selex(l_comm;piD;cSt) 
Comm-output() supposing 
pDVselex?(piD) }
{ Proof }
Definitions occuring in Statement :
Comm-next-selex: Comm-next-selex(l_comm;piD;cSt),
Comm-output: Comm-output(),
Comm-state: Comm-state(),
PiDataVal: PiDataVal(),
Id: Id,
assert: b,
uimplies: b supposing a,
uall: [x:A]. B[x],
member: t T
Definitions :
void: Void,
pDVcontinue: pDVcontinue(),
tag-by: z
T,
universe: Type,
subtype: S 
T,
top: Top,
eclass: EClass(A[eo; e]),
labeled-graph: LabeledGraph(T),
strong-subtype: strong-subtype(A;B),
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
bool: 
,
union: left + right,
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
and: P 
Q,
uiff: uiff(P;Q),
set: {x:A| B[x]} ,
atom: Atom$n,
subtype_rel: A r B,
tag-case: z:T,
pDVmsg: pDVmsg(val;index),
mk-tagged: mk-tagged(tg;x),
nat: 
,
name: Name,
product: x:A B[x],
pDVselex-rndv1: pDVselex-rndv1(x),
nil: [],
cons: [car / cdr],
make-lg: make-lg(L),
pi_prefix: pi_prefix(),
list: type List,
so_lambda: 
x.t[x],
token: "$token",
pair: <a, b>,
Comm-count: Comm-count(cSt),
bfalse: ff,
Comm-req_from: Comm-req_from(cSt),
Comm-q: Comm-q(cSt),
fpf: a:A fp-> B[a],
fpf-restrict: fpf-restrict(f;P),
bnot: 
b,
eq_id: a = b,
Comm-st: Comm-st(cSt),
pi1: fst(t),
pi2: snd(t),
lambda: x.A[x],
apply: f a,
let: let,
function: x:A 
B[x],
all: x:A. B[x],
pDVselex?: pDVselex?(x),
Id: Id,
uall: [x:A]. B[x],
uimplies: b supposing a,
prop: 
,
isect: 
x:A. B[x],
axiom: Ax,
Comm-output: Comm-output(),
Comm-next-selex: Comm-next-selex(l_comm;piD;cSt),
assert: b,
Comm-state: Comm-state(),
equal: s = t,
PiDataVal: PiDataVal(),
member: t T,
Auto: Error :Auto,
RepUR: Error :RepUR,
CollapseTHEN: Error :CollapseTHEN,
Unfold: Error :Unfold
Lemmas :
pi_prefix_wf,
Comm-st_wf,
make-lg_wf,
Id_wf,
tag-case_wf,
PiDataVal_wf,
mk-tagged_wf,
pDVmsg_wf,
pi1_wf,
nat_wf,
name_wf,
pi2_wf,
pDVselex-rndv1_wf,
Comm-count_wf,
bfalse_wf,
Comm-req_from_wf,
Comm-q_wf,
fpf-restrict_wf,
Comm-output_wf,
member_wf,
Comm-state_wf,
pDVselex?_wf,
assert_wf,
labeled-graph_wf,
bool_wf,
fpf_wf,
subtype_rel_wf,
fpf-restrict_wf2,
bnot_wf,
eq_id_wf,
pi1_wf_top,
top_wf,
tag-by_wf,
make-lg_wf_dag,
mk-tagged_wf2,
pDVcontinue_wf
\mforall{}[l$_{comm}$:Id]. \mforall{}[piD:PiDataVal()]. \mforall{}[cSt:Comm-state()].
Comm-next-selex(l$_{comm}$;piD;cSt) \mmember{} Comm-output() supposing \muparrow{}pDVselex?(piD)
Date html generated:
2011_08_17-PM-07_02_04
Last ObjectModification:
2011_06_18-PM-12_42_42
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