{ 
[k:Knd]. [l:IdLnk]. uiff(
isrcvl(l;k);(isrcv(k)) 
(lnk(k) = l)) }
{ Proof }
Definitions occuring in Statement :
isrcvl: isrcvl(l;k),
lnk: lnk(k),
isrcv: isrcv(k),
Knd: Knd,
IdLnk: IdLnk,
assert: b,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
and: P Q,
equal: s = t
Definitions :
limited-type: LimitedType,
iff: P 
Q,
eq_bool: p =b q,
lt_int: i <z j,
le_int: i 
z j,
eq_int: (i =
j),
eq_atom: x =a y,
null: null(as),
set_blt: a <
b,
grp_blt: a < b,
apply: f a,
infix_ap: x f y,
dcdr-to-bool: [d],
bl-all: (x
L.P[x])_b,
bl-exists: (
xL.P[x])_b,
b-exists: (i<n.P[i])_b,
eq_type: eq_type(T;T'),
eq_atom: eq_atom$n(x;y),
qeq: qeq(r;s),
q_less: q_less(r;s),
q_le: q_le(r;s),
deq-member: deq-member(eq;x;L),
deq-disjoint: deq-disjoint(eq;as;bs),
deq-all-disjoint: deq-all-disjoint(eq;ass;bs),
eq_str: Error :eq_str,
eq_id: a = b,
bimplies: p q,
bor: p 
q,
bnot: 
b,
int: 
,
intensional-universe: IType,
inr: inr x ,
inl: inl x ,
bfalse: ff,
unit: Unit,
bool: 
,
btrue: tt,
isl: isl(x),
cand: A c B,
list: type List,
strong-subtype: strong-subtype(A;B),
le: A B,
ge: i 
j ,
not: A,
less_than: a < b,
atom: Atom$n,
Id: Id,
union: left + right,
subtype_rel: A 
r B,
universe: Type,
eq_lnk: a = b,
band: p q,
isrcv: isrcv(k),
axiom: Ax,
lnk: lnk(k),
implies: P Q,
pair: <a, b>,
void: Void,
false: False,
true: True,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
prop: 
,
uall: [x:A]. B[x],
Knd: Knd,
all: x:A. B[x],
function: x:A 
B[x],
member: t T,
isrcvl: isrcvl(l;k),
uiff: uiff(P;Q),
and: P Q,
product: x:A 
B[x],
equal: s = t,
IdLnk: IdLnk,
assert: b,
uimplies: b supposing a,
isect: 
x:A. B[x],
guard: {T},
sqequal: s ~ t,
sq_type: SQType(T),
set: {x:A| B[x]} ,
MaAuto: Error :MaAuto,
Complete: Error :Complete,
Try: Error :Try,
D: Error :D,
RepeatFor: Error :RepeatFor,
CollapseTHEN: Error :CollapseTHEN,
Unfold: Error :Unfold,
tactic: Error :tactic,
rev_implies: P Q,
Auto: Error :Auto
Lemmas :
implies_functionality_wrt_iff,
assert-eq-lnk,
iff_wf,
rev_implies_wf,
subtype_base_sq,
bool_subtype_base,
assert_wf,
true_wf,
isrcv_wf,
ifthenelse_wf,
false_wf,
lnk_wf,
IdLnk_wf,
assert_witness,
uiff_wf,
Knd_wf,
band_wf,
eq_lnk_wf,
btrue_wf,
bool_wf,
bfalse_wf,
Id_wf,
member_wf,
unit_wf,
subtype_rel_wf,
intensional-universe_wf,
iff_weakening_uiff,
eqtt_to_assert,
not_wf,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
bnot_wf,
assert_elim,
eq_lnk_self
\mforall{}[k:Knd]. \mforall{}[l:IdLnk]. uiff(\muparrow{}isrcvl(l;k);(\muparrow{}isrcv(k)) \mwedge{} (lnk(k) = l))
Date html generated:
2011_08_10-AM-07_48_21
Last ObjectModification:
2011_06_18-AM-08_13_05
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