Nuprl Lemma : es-interface-map_wf
[Info,A,B:Type]. [X:EClass(A)]. [f:
es:EO+(Info). (A 
E(X) bag(B))]. (es-interface-map(f;X) 
EClass(B))
Proof not projected
Definitions occuring in Statement :
es-interface-map: es-interface-map(f;X),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
member: t T,
isect: x:A. B[x],
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
uall: [x:A]. B[x],
eclass: EClass(A[eo; e]),
member: t T,
es-interface-map: es-interface-map(f;X),
let: let,
all: x:A. B[x],
so_lambda: 
x y.t[x; y],
implies: P 
Q,
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
guard: {T},
es-E-interface: E(X),
in-eclass: e 
X,
so_apply: x[s1;s2],
nat: 
,
uimplies: b supposing a,
bool: 
,
unit: Unit,
uiff: uiff(P;Q),
and: P 
Q,
prop: 
,
rev_uimplies: rev_uimplies(P;Q),
subtype: S 
T,
it: 
Lemmas :
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
es-E-interface_wf,
es-interface-top,
bag_wf,
eclass_wf,
eq_int_wf,
bag-size_wf,
nat_wf,
bool_wf,
equal_wf,
assert_wf,
bag-only_wf,
bnot_wf,
not_wf,
empty-bag_wf,
uiff_transitivity,
eqtt_to_assert,
assert_of_eq_int,
eqff_to_assert,
assert_of_bnot,
not_functionality_wrt_uiff,
in-eclass_wf
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[f:\mcap{}es:EO+(Info). (A {}\mrightarrow{} E(X) {}\mrightarrow{} bag(B))].
(es-interface-map(f;X) \mmember{} EClass(B))
Date html generated:
2012_01_23-PM-12_24_45
Last ObjectModification:
2011_12_31-AM-11_45_40
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