Nuprl Lemma : es-interface-map-val
[Info,A:Type]. [es:EO+(Info)]. [X:EClass(A)]. [f:A 
E(X) bag(Top)]. [e:E].
es-interface-map(f;X)(e) ~ only(f X(e) e) supposing 
e 
es-interface-map(f;X)
Proof not projected
Definitions occuring in Statement :
es-interface-map: es-interface-map(f;X),
es-E-interface: E(X),
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: b,
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
apply: f a,
function: x:A B[x],
universe: Type,
sqequal: s ~ t,
bag-only: only(bs),
bag: bag(T)
Definitions :
so_lambda: 
x y.t[x; y],
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),
eclass-val: X(e),
es-interface-map: es-interface-map(f;X),
in-eclass: e X,
assert: b,
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
top: Top,
uimplies: b supposing a,
bag: bag(T),
so_apply: x[s1;s2],
and: P 
Q,
uiff: uiff(P;Q),
unit: Unit,
nat: 
,
bool: 
,
rev_uimplies: rev_uimplies(P;Q),
sq_type: SQType(T),
false: False,
subtype: S 
T,
it: 
,
prop: 
Lemmas :
event-ordering+_wf,
eclass_wf,
top_wf,
bag_wf,
es-interface-top,
es-E-interface_wf,
event-ordering+_inc,
es-E_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,
bag-only_wf,
bag-size-one,
true_wf,
false_wf,
subtype_base_sq
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[f:A {}\mrightarrow{} E(X) {}\mrightarrow{} bag(Top)]. \mforall{}[e:E].
es-interface-map(f;X)(e) \msim{} only(f X(e) e) supposing \muparrow{}e \mmember{}\msubb{} es-interface-map(f;X)
Date html generated:
2012_01_23-PM-12_24_56
Last ObjectModification:
2011_12_13-PM-02_16_51
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