{ 
[env:E#Env]. [F:Atom]. [r:{dv:ClassDerivation| WF(dv)} List].
(esharp-comb-wf(env;F;r) 
') }
{ Proof }
Definitions occuring in Statement :
esharp-comb-wf: esharp-comb-wf(env;F;ra),
esharp-env: E#Env,
cdv-wf: WF(dv),
classderiv: ClassDerivation,
uall: [x:A]. B[x],
prop: ,
member: t T,
set: {x:A| B[x]} ,
list: type List,
atom: Atom
Definitions :
bool: 
,
nat: 
,
inr: inr x ,
inl: inl x ,
lambda: 
x.A[x],
map: map(f;as),
apply: f a,
add: n + m,
spreadn: spread6,
false: False,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
hd: hd(l),
atom-deq: AtomDeq,
implies: P 
Q,
unit: Unit,
apply-alist: apply-alist(eq;L;x),
natural_number: $n,
cdv-types: cdv-types(dv),
length: ||as||,
eclass: EClass(A[eo; e]),
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
uimplies: b supposing a,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
function: x:A 
B[x],
all: x:A. B[x],
esharp-env: E#Env,
base-deriv: BaseDef,
union: left + right,
combinator-def: CombinatorDef,
and: P 
Q,
product: x:A 
B[x],
int: 
,
atom: Atom,
uall: [x:A]. B[x],
set: {x:A| B[x]} ,
cdv-wf: WF(dv),
classderiv: ClassDerivation,
list: type List,
isect: 
x:A. B[x],
member: t T,
universe: Type,
esharp-comb-wf: esharp-comb-wf(env;F;ra),
axiom: Ax,
equal: s = t,
prop: ,
RepUR: Error :RepUR,
D: Error :D,
RepeatFor: Error :RepeatFor,
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
Complete: Error :Complete,
Try: Error :Try,
Unfold: Error :Unfold,
top: Top,
sqequal: s ~ t,
qless: r < s,
nequal: a 
b T ,
nil: [],
rationals: 
,
rec: rec(x.A[x]),
pi2: snd(t),
ycomb: Y,
so_apply: x[s],
or: P 
Q,
guard: {T},
pi1: fst(t),
filter: filter(P;l),
l_member: (x l),
intensional-universe: IType,
classderiv_ind: classderiv_ind,
void: Void,
assert: 
b,
listp: A List
,
combination: Combination(n;T),
real: 
,
grp_car: |g|,
subtype: S T,
cand: A c B,
empty-bag: {},
ifthenelse: if b then t else f fi ,
select: l[i],
bag: bag(T),
int_seg: {i..j
},
pair: <a, b>,
limited-type: LimitedType,
CollapseTHENA: Error :CollapseTHENA,
sq_type: SQType(T),
HypSubst: Error :HypSubst,
tactic: Error :tactic
Lemmas :
subtype_base_sq,
list_subtype_base,
nat_wf,
top_wf,
cdv-types-non-empty,
map_wf,
hd_wf,
length_wf_nat,
listp_wf,
map_wf_listp,
nat_properties,
subtype_rel_wf,
intensional-universe_wf,
list-subtype,
l_member_wf,
intensional-universe_wf2,
ge_wf,
le_wf,
not_wf,
pos_length3,
pos_length,
length-map,
member_wf,
false_wf,
unit_wf,
classderiv_wf,
cdv-wf_wf,
combinator-def_wf,
base-deriv_wf,
cdv-types_wf,
length_wf1,
atom-deq_wf,
apply-alist_wf
\mforall{}[env:E\#Env]. \mforall{}[F:Atom]. \mforall{}[r:\{dv:ClassDerivation| WF(dv)\} List]. (esharp-comb-wf(env;F;r) \mmember{} \mBbbP{}')
Date html generated:
2011_08_17-PM-04_32_02
Last ObjectModification:
2011_06_18-AM-11_43_16
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