Nuprl Lemma : is-interface-part
[Info:Type]. [es:EO+(Info)]. [T:Type]. [X:EClass(T)]. [g:E(X) 
Id]. [i:Id]. [e:E].
uiff(
e 
(X|g=i);(e X) 
((g e) = i))
Proof not projected
Definitions occuring in Statement :
es-interface-part: (X|g=i),
es-E-interface: E(X),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
assert: b,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
and: P Q,
apply: f a,
function: x:A B[x],
universe: Type,
equal: s = t
Definitions :
guard: {T},
bfalse: ff,
btrue: tt,
exposed-it: exposed-it,
implies: P 
Q,
all: x:A. B[x],
member: t T,
ifthenelse: if b then t else f fi ,
let: let,
eq_int: (i =
j),
es-interface-part: (X|g=i),
in-eclass: e X,
assert: b,
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
and: P Q,
true: True,
cand: A c B,
prop: 
,
uimplies: b supposing a,
uiff: uiff(P;Q),
unit: Unit,
nat: 
,
bool: 
,
sq_type: SQType(T),
not: 
A,
false: False,
subtype: S 
T,
it: 
Lemmas :
event-ordering+_wf,
bag_wf,
event-ordering+_inc,
es-E_wf,
Id_wf,
not_functionality_wrt_uiff,
assert_of_bnot,
eqff_to_assert,
not_wf,
bnot_wf,
assert_of_eq_int,
eqtt_to_assert,
assert_wf,
equal_wf,
uiff_transitivity,
bool_wf,
nat_wf,
bag-size_wf,
eq_int_wf,
and_wf,
eq_int_eq_true,
assert-eq-id,
bool_subtype_base,
subtype_base_sq,
eq_id_wf,
true_wf,
pair_wf,
false_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[g:E(X) {}\mrightarrow{} Id]. \mforall{}[i:Id]. \mforall{}[e:E].
uiff(\muparrow{}e \mmember{}\msubb{} (X|g=i);(\muparrow{}e \mmember{}\msubb{} X) \mwedge{} ((g e) = i))
Date html generated:
2012_01_23-PM-12_25_53
Last ObjectModification:
2011_12_13-PM-02_44_19
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